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Finding the Fourth Proportional to 416.60, 627.37 and 392.30

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Solution

The fourth proportional to 416.60, 627.37 and 392.30 is: 590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.60 : 627.37 = 392.30 : x
  2. Step 2: Convert to fraction form
    416.60/627.37 = 392.30/x
  3. Step 3: Cross multiply
    416.60x = 627.37 × 392.30
  4. Step 4: Simplify right side
    416.60x = 246,115.29
  5. Step 5: Solve for x
    x = 246,115.29/416.60
  6. Step 6: Final answer
    x = 590.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.