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Finding the Fourth Proportional to 457.61, 687.92 and 423.78

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Solution

The fourth proportional to 457.61, 687.92 and 423.78 is: 637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.61 : 687.92 = 423.78 : x
  2. Step 2: Convert to fraction form
    457.61/687.92 = 423.78/x
  3. Step 3: Cross multiply
    457.61x = 687.92 × 423.78
  4. Step 4: Simplify right side
    457.61x = 291,524.62
  5. Step 5: Solve for x
    x = 291,524.62/457.61
  6. Step 6: Final answer
    x = 637.07

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