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Finding the Fourth Proportional to 474.92, 712.38 and 414.10

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Solution

The fourth proportional to 474.92, 712.38 and 414.10 is: 621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.92 : 712.38 = 414.10 : x
  2. Step 2: Convert to fraction form
    474.92/712.38 = 414.10/x
  3. Step 3: Cross multiply
    474.92x = 712.38 × 414.10
  4. Step 4: Simplify right side
    474.92x = 294,996.56
  5. Step 5: Solve for x
    x = 294,996.56/474.92
  6. Step 6: Final answer
    x = 621.15

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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.