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Finding the Fourth Proportional to 1,166.69, 1,610.49 and 774.23

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Solution

The fourth proportional to 1,166.69, 1,610.49 and 774.23 is: 1,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.69 : 1,610.49 = 774.23 : x
  2. Step 2: Convert to fraction form
    1,166.69/1,610.49 = 774.23/x
  3. Step 3: Cross multiply
    1,166.69x = 1,610.49 × 774.23
  4. Step 4: Simplify right side
    1,166.69x = 1,246,889.67
  5. Step 5: Solve for x
    x = 1,246,889.67/1,166.69
  6. Step 6: Final answer
    x = 1,068.74

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Half scale
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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.