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Finding the Fourth Proportional to 546.49, 747.70 and 544.19

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Solution

The fourth proportional to 546.49, 747.70 and 544.19 is: 744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.49 : 747.70 = 544.19 : x
  2. Step 2: Convert to fraction form
    546.49/747.70 = 544.19/x
  3. Step 3: Cross multiply
    546.49x = 747.70 × 544.19
  4. Step 4: Simplify right side
    546.49x = 406,890.86
  5. Step 5: Solve for x
    x = 406,890.86/546.49
  6. Step 6: Final answer
    x = 744.55

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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.