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Finding the Fourth Proportional to 565.43, 778.14 and 524.12

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Solution

The fourth proportional to 565.43, 778.14 and 524.12 is: 721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.43 : 778.14 = 524.12 : x
  2. Step 2: Convert to fraction form
    565.43/778.14 = 524.12/x
  3. Step 3: Cross multiply
    565.43x = 778.14 × 524.12
  4. Step 4: Simplify right side
    565.43x = 407,834.85
  5. Step 5: Solve for x
    x = 407,834.85/565.43
  6. Step 6: Final answer
    x = 721.29

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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.