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Finding the Fourth Proportional to 418.29, 625.14 and 385.46

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Solution

The fourth proportional to 418.29, 625.14 and 385.46 is: 576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.29 : 625.14 = 385.46 : x
  2. Step 2: Convert to fraction form
    418.29/625.14 = 385.46/x
  3. Step 3: Cross multiply
    418.29x = 625.14 × 385.46
  4. Step 4: Simplify right side
    418.29x = 240,966.46
  5. Step 5: Solve for x
    x = 240,966.46/418.29
  6. Step 6: Final answer
    x = 576.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.