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Finding the Fourth Proportional to 1,220.69, 1,684.71 and 696.75

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Solution

The fourth proportional to 1,220.69, 1,684.71 and 696.75 is: 961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.69 : 1,684.71 = 696.75 : x
  2. Step 2: Convert to fraction form
    1,220.69/1,684.71 = 696.75/x
  3. Step 3: Cross multiply
    1,220.69x = 1,684.71 × 696.75
  4. Step 4: Simplify right side
    1,220.69x = 1,173,821.69
  5. Step 5: Solve for x
    x = 1,173,821.69/1,220.69
  6. Step 6: Final answer
    x = 961.61

Related Problems

Find fourth proportional to 610.34, 842.36 and 348.38
Half scale
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Double scale
Find fourth proportional to 1,221.69, 1,686.09 and 697.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.