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Finding the Fourth Proportional to 565.73, 847.91 and 411.27

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Solution

The fourth proportional to 565.73, 847.91 and 411.27 is: 616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.73 : 847.91 = 411.27 : x
  2. Step 2: Convert to fraction form
    565.73/847.91 = 411.27/x
  3. Step 3: Cross multiply
    565.73x = 847.91 × 411.27
  4. Step 4: Simplify right side
    565.73x = 348,717.89
  5. Step 5: Solve for x
    x = 348,717.89/565.73
  6. Step 6: Final answer
    x = 616.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.