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Finding the Fourth Proportional to 644.52, 890.36 and 565.68

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Solution

The fourth proportional to 644.52, 890.36 and 565.68 is: 781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.52 : 890.36 = 565.68 : x
  2. Step 2: Convert to fraction form
    644.52/890.36 = 565.68/x
  3. Step 3: Cross multiply
    644.52x = 890.36 × 565.68
  4. Step 4: Simplify right side
    644.52x = 503,658.84
  5. Step 5: Solve for x
    x = 503,658.84/644.52
  6. Step 6: Final answer
    x = 781.45

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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.