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Finding the Fourth Proportional to 691.83, 951.90 and 598.27

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Solution

The fourth proportional to 691.83, 951.90 and 598.27 is: 823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.83 : 951.90 = 598.27 : x
  2. Step 2: Convert to fraction form
    691.83/951.90 = 598.27/x
  3. Step 3: Cross multiply
    691.83x = 951.90 × 598.27
  4. Step 4: Simplify right side
    691.83x = 569,493.21
  5. Step 5: Solve for x
    x = 569,493.21/691.83
  6. Step 6: Final answer
    x = 823.17

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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.