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Finding the Fourth Proportional to 565.49, 781.37 and 467.08

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Solution

The fourth proportional to 565.49, 781.37 and 467.08 is: 645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.49 : 781.37 = 467.08 : x
  2. Step 2: Convert to fraction form
    565.49/781.37 = 467.08/x
  3. Step 3: Cross multiply
    565.49x = 781.37 × 467.08
  4. Step 4: Simplify right side
    565.49x = 364,962.30
  5. Step 5: Solve for x
    x = 364,962.30/565.49
  6. Step 6: Final answer
    x = 645.39

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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.