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Finding the Fourth Proportional to 565.91, 775.10 and 532.70

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Solution

The fourth proportional to 565.91, 775.10 and 532.70 is: 729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.91 : 775.10 = 532.70 : x
  2. Step 2: Convert to fraction form
    565.91/775.10 = 532.70/x
  3. Step 3: Cross multiply
    565.91x = 775.10 × 532.70
  4. Step 4: Simplify right side
    565.91x = 412,895.77
  5. Step 5: Solve for x
    x = 412,895.77/565.91
  6. Step 6: Final answer
    x = 729.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.