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Finding the Fourth Proportional to 478.73, 660.29 and 412.46

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Solution

The fourth proportional to 478.73, 660.29 and 412.46 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.73 : 660.29 = 412.46 : x
  2. Step 2: Convert to fraction form
    478.73/660.29 = 412.46/x
  3. Step 3: Cross multiply
    478.73x = 660.29 × 412.46
  4. Step 4: Simplify right side
    478.73x = 272,338.88
  5. Step 5: Solve for x
    x = 272,338.88/478.73
  6. Step 6: Final answer
    x = 568.87

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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.