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Finding the Fourth Proportional to 565.97, 781.25 and 486.99

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Solution

The fourth proportional to 565.97, 781.25 and 486.99 is: 672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.97 : 781.25 = 486.99 : x
  2. Step 2: Convert to fraction form
    565.97/781.25 = 486.99/x
  3. Step 3: Cross multiply
    565.97x = 781.25 × 486.99
  4. Step 4: Simplify right side
    565.97x = 380,458.50
  5. Step 5: Solve for x
    x = 380,458.50/565.97
  6. Step 6: Final answer
    x = 672.23

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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.