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Finding the Fourth Proportional to 564.91, 773.74 and 531.70

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Solution

The fourth proportional to 564.91, 773.74 and 531.70 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.91 : 773.74 = 531.70 : x
  2. Step 2: Convert to fraction form
    564.91/773.74 = 531.70/x
  3. Step 3: Cross multiply
    564.91x = 773.74 × 531.70
  4. Step 4: Simplify right side
    564.91x = 411,394.90
  5. Step 5: Solve for x
    x = 411,394.90/564.91
  6. Step 6: Final answer
    x = 728.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.