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Finding the Fourth Proportional to 474.73, 710.85 and 381.68

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Solution

The fourth proportional to 474.73, 710.85 and 381.68 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.73 : 710.85 = 381.68 : x
  2. Step 2: Convert to fraction form
    474.73/710.85 = 381.68/x
  3. Step 3: Cross multiply
    474.73x = 710.85 × 381.68
  4. Step 4: Simplify right side
    474.73x = 271,315.32
  5. Step 5: Solve for x
    x = 271,315.32/474.73
  6. Step 6: Final answer
    x = 571.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.