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Finding the Fourth Proportional to 624.25, 862.05 and 565.93

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Solution

The fourth proportional to 624.25, 862.05 and 565.93 is: 781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.25 : 862.05 = 565.93 : x
  2. Step 2: Convert to fraction form
    624.25/862.05 = 565.93/x
  3. Step 3: Cross multiply
    624.25x = 862.05 × 565.93
  4. Step 4: Simplify right side
    624.25x = 487,859.96
  5. Step 5: Solve for x
    x = 487,859.96/624.25
  6. Step 6: Final answer
    x = 781.51

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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.