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Finding the Fourth Proportional to 542.45, 747.88 and 416.55

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Solution

The fourth proportional to 542.45, 747.88 and 416.55 is: 574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.45 : 747.88 = 416.55 : x
  2. Step 2: Convert to fraction form
    542.45/747.88 = 416.55/x
  3. Step 3: Cross multiply
    542.45x = 747.88 × 416.55
  4. Step 4: Simplify right side
    542.45x = 311,529.41
  5. Step 5: Solve for x
    x = 311,529.41/542.45
  6. Step 6: Final answer
    x = 574.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.