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Finding the Fourth Proportional to 485.68, 666.28 and 472.92

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Solution

The fourth proportional to 485.68, 666.28 and 472.92 is: 648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.68 : 666.28 = 472.92 : x
  2. Step 2: Convert to fraction form
    485.68/666.28 = 472.92/x
  3. Step 3: Cross multiply
    485.68x = 666.28 × 472.92
  4. Step 4: Simplify right side
    485.68x = 315,097.14
  5. Step 5: Solve for x
    x = 315,097.14/485.68
  6. Step 6: Final answer
    x = 648.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.