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Finding the Fourth Proportional to 708.83, 1,062.17 and 476.87

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Solution

The fourth proportional to 708.83, 1,062.17 and 476.87 is: 714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.83 : 1,062.17 = 476.87 : x
  2. Step 2: Convert to fraction form
    708.83/1,062.17 = 476.87/x
  3. Step 3: Cross multiply
    708.83x = 1,062.17 × 476.87
  4. Step 4: Simplify right side
    708.83x = 506,511.10
  5. Step 5: Solve for x
    x = 506,511.10/708.83
  6. Step 6: Final answer
    x = 714.57

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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.