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Finding the Fourth Proportional to 540.88, 747.48 and 442.48

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Solution

The fourth proportional to 540.88, 747.48 and 442.48 is: 611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.88 : 747.48 = 442.48 : x
  2. Step 2: Convert to fraction form
    540.88/747.48 = 442.48/x
  3. Step 3: Cross multiply
    540.88x = 747.48 × 442.48
  4. Step 4: Simplify right side
    540.88x = 330,744.95
  5. Step 5: Solve for x
    x = 330,744.95/540.88
  6. Step 6: Final answer
    x = 611.49

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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.