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Finding the Fourth Proportional to 691.71, 951.71 and 598.15

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Solution

The fourth proportional to 691.71, 951.71 and 598.15 is: 822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.71 : 951.71 = 598.15 : x
  2. Step 2: Convert to fraction form
    691.71/951.71 = 598.15/x
  3. Step 3: Cross multiply
    691.71x = 951.71 × 598.15
  4. Step 4: Simplify right side
    691.71x = 569,265.34
  5. Step 5: Solve for x
    x = 569,265.34/691.71
  6. Step 6: Final answer
    x = 822.98

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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.