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Finding the Fourth Proportional to 416.48, 627.08 and 375.20

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Solution

The fourth proportional to 416.48, 627.08 and 375.20 is: 564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 627.08 = 375.20 : x
  2. Step 2: Convert to fraction form
    416.48/627.08 = 375.20/x
  3. Step 3: Cross multiply
    416.48x = 627.08 × 375.20
  4. Step 4: Simplify right side
    416.48x = 235,280.42
  5. Step 5: Solve for x
    x = 235,280.42/416.48
  6. Step 6: Final answer
    x = 564.93

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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.