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Finding the Fourth Proportional to 478.54, 659.92 and 312.70

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Solution

The fourth proportional to 478.54, 659.92 and 312.70 is: 431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.54 : 659.92 = 312.70 : x
  2. Step 2: Convert to fraction form
    478.54/659.92 = 312.70/x
  3. Step 3: Cross multiply
    478.54x = 659.92 × 312.70
  4. Step 4: Simplify right side
    478.54x = 206,356.98
  5. Step 5: Solve for x
    x = 206,356.98/478.54
  6. Step 6: Final answer
    x = 431.22

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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.