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Finding the Fourth Proportional to 691.77, 951.81 and 598.22

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Solution

The fourth proportional to 691.77, 951.81 and 598.22 is: 823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.77 : 951.81 = 598.22 : x
  2. Step 2: Convert to fraction form
    691.77/951.81 = 598.22/x
  3. Step 3: Cross multiply
    691.77x = 951.81 × 598.22
  4. Step 4: Simplify right side
    691.77x = 569,387.02
  5. Step 5: Solve for x
    x = 569,387.02/691.77
  6. Step 6: Final answer
    x = 823.09

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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.