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Finding the Fourth Proportional to 1,220.76, 1,684.82 and 697

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Solution

The fourth proportional to 1,220.76, 1,684.82 and 697 is: 961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.76 : 1,684.82 = 697 : x
  2. Step 2: Convert to fraction form
    1,220.76/1,684.82 = 697/x
  3. Step 3: Cross multiply
    1,220.76x = 1,684.82 × 697
  4. Step 4: Simplify right side
    1,220.76x = 1,174,319.54
  5. Step 5: Solve for x
    x = 1,174,319.54/1,220.76
  6. Step 6: Final answer
    x = 961.96

Related Problems

Find fourth proportional to 610.38, 842.41 and 348.50
Half scale
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Double scale
Find fourth proportional to 1,221.76, 1,686.20 and 698
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.