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Finding the Fourth Proportional to 463.92, 637.05 and 414.78

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Solution

The fourth proportional to 463.92, 637.05 and 414.78 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 637.05 = 414.78 : x
  2. Step 2: Convert to fraction form
    463.92/637.05 = 414.78/x
  3. Step 3: Cross multiply
    463.92x = 637.05 × 414.78
  4. Step 4: Simplify right side
    463.92x = 264,235.60
  5. Step 5: Solve for x
    x = 264,235.60/463.92
  6. Step 6: Final answer
    x = 569.57

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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.