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Finding the Fourth Proportional to 546.48, 747.70 and 544.20

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Solution

The fourth proportional to 546.48, 747.70 and 544.20 is: 744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 747.70 = 544.20 : x
  2. Step 2: Convert to fraction form
    546.48/747.70 = 544.20/x
  3. Step 3: Cross multiply
    546.48x = 747.70 × 544.20
  4. Step 4: Simplify right side
    546.48x = 406,898.34
  5. Step 5: Solve for x
    x = 406,898.34/546.48
  6. Step 6: Final answer
    x = 744.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.