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Finding the Fourth Proportional to 697.38, 961.17 and 598.74

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Solution

The fourth proportional to 697.38, 961.17 and 598.74 is: 825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.38 : 961.17 = 598.74 : x
  2. Step 2: Convert to fraction form
    697.38/961.17 = 598.74/x
  3. Step 3: Cross multiply
    697.38x = 961.17 × 598.74
  4. Step 4: Simplify right side
    697.38x = 575,490.93
  5. Step 5: Solve for x
    x = 575,490.93/697.38
  6. Step 6: Final answer
    x = 825.22

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Double scale
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1.5x scale

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.