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Finding the Fourth Proportional to 540.66, 747.12 and 442.38

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Solution

The fourth proportional to 540.66, 747.12 and 442.38 is: 611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 747.12 = 442.38 : x
  2. Step 2: Convert to fraction form
    540.66/747.12 = 442.38/x
  3. Step 3: Cross multiply
    540.66x = 747.12 × 442.38
  4. Step 4: Simplify right side
    540.66x = 330,510.95
  5. Step 5: Solve for x
    x = 330,510.95/540.66
  6. Step 6: Final answer
    x = 611.31

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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.