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Finding the Fourth Proportional to 701.97, 1,053.32 and 511.17

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Solution

The fourth proportional to 701.97, 1,053.32 and 511.17 is: 767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.97 : 1,053.32 = 511.17 : x
  2. Step 2: Convert to fraction form
    701.97/1,053.32 = 511.17/x
  3. Step 3: Cross multiply
    701.97x = 1,053.32 × 511.17
  4. Step 4: Simplify right side
    701.97x = 538,423.03
  5. Step 5: Solve for x
    x = 538,423.03/701.97
  6. Step 6: Final answer
    x = 767.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.