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Finding the Fourth Proportional to 417.47, 625.29 and 409.16

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Solution

The fourth proportional to 417.47, 625.29 and 409.16 is: 612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.47 : 625.29 = 409.16 : x
  2. Step 2: Convert to fraction form
    417.47/625.29 = 409.16/x
  3. Step 3: Cross multiply
    417.47x = 625.29 × 409.16
  4. Step 4: Simplify right side
    417.47x = 255,843.69
  5. Step 5: Solve for x
    x = 255,843.69/417.47
  6. Step 6: Final answer
    x = 612.85

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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.