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Finding the Fourth Proportional to 416.52, 621.36 and 387.06

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Solution

The fourth proportional to 416.52, 621.36 and 387.06 is: 577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.52 : 621.36 = 387.06 : x
  2. Step 2: Convert to fraction form
    416.52/621.36 = 387.06/x
  3. Step 3: Cross multiply
    416.52x = 621.36 × 387.06
  4. Step 4: Simplify right side
    416.52x = 240,503.60
  5. Step 5: Solve for x
    x = 240,503.60/416.52
  6. Step 6: Final answer
    x = 577.41

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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.