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Finding the Fourth Proportional to 644.52, 971.14 and 531.48

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Solution

The fourth proportional to 644.52, 971.14 and 531.48 is: 800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.52 : 971.14 = 531.48 : x
  2. Step 2: Convert to fraction form
    644.52/971.14 = 531.48/x
  3. Step 3: Cross multiply
    644.52x = 971.14 × 531.48
  4. Step 4: Simplify right side
    644.52x = 516,141.49
  5. Step 5: Solve for x
    x = 516,141.49/644.52
  6. Step 6: Final answer
    x = 800.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.