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Finding the Fourth Proportional to 462.32, 636.12 and 423.92

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Solution

The fourth proportional to 462.32, 636.12 and 423.92 is: 583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.32 : 636.12 = 423.92 : x
  2. Step 2: Convert to fraction form
    462.32/636.12 = 423.92/x
  3. Step 3: Cross multiply
    462.32x = 636.12 × 423.92
  4. Step 4: Simplify right side
    462.32x = 269,663.99
  5. Step 5: Solve for x
    x = 269,663.99/462.32
  6. Step 6: Final answer
    x = 583.28

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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.