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Finding the Fourth Proportional to 565.43, 849.15 and 411.53

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Solution

The fourth proportional to 565.43, 849.15 and 411.53 is: 618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.43 : 849.15 = 411.53 : x
  2. Step 2: Convert to fraction form
    565.43/849.15 = 411.53/x
  3. Step 3: Cross multiply
    565.43x = 849.15 × 411.53
  4. Step 4: Simplify right side
    565.43x = 349,446.45
  5. Step 5: Solve for x
    x = 349,446.45/565.43
  6. Step 6: Final answer
    x = 618.02

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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.