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Finding the Fourth Proportional to 474.67, 652.95 and 447.79

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Solution

The fourth proportional to 474.67, 652.95 and 447.79 is: 615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.67 : 652.95 = 447.79 : x
  2. Step 2: Convert to fraction form
    474.67/652.95 = 447.79/x
  3. Step 3: Cross multiply
    474.67x = 652.95 × 447.79
  4. Step 4: Simplify right side
    474.67x = 292,384.48
  5. Step 5: Solve for x
    x = 292,384.48/474.67
  6. Step 6: Final answer
    x = 615.97

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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.