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Finding the Fourth Proportional to 487.53, 674.64 and 421.92

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Solution

The fourth proportional to 487.53, 674.64 and 421.92 is: 583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.53 : 674.64 = 421.92 : x
  2. Step 2: Convert to fraction form
    487.53/674.64 = 421.92/x
  3. Step 3: Cross multiply
    487.53x = 674.64 × 421.92
  4. Step 4: Simplify right side
    487.53x = 284,644.11
  5. Step 5: Solve for x
    x = 284,644.11/487.53
  6. Step 6: Final answer
    x = 583.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.