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Finding the Fourth Proportional to 478.12, 660.21 and 462.64

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Solution

The fourth proportional to 478.12, 660.21 and 462.64 is: 638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.12 : 660.21 = 462.64 : x
  2. Step 2: Convert to fraction form
    478.12/660.21 = 462.64/x
  3. Step 3: Cross multiply
    478.12x = 660.21 × 462.64
  4. Step 4: Simplify right side
    478.12x = 305,436.25
  5. Step 5: Solve for x
    x = 305,436.25/478.12
  6. Step 6: Final answer
    x = 638.83

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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.