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Finding the Fourth Proportional to 546.68, 749.20 and 528.20

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Solution

The fourth proportional to 546.68, 749.20 and 528.20 is: 723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.68 : 749.20 = 528.20 : x
  2. Step 2: Convert to fraction form
    546.68/749.20 = 528.20/x
  3. Step 3: Cross multiply
    546.68x = 749.20 × 528.20
  4. Step 4: Simplify right side
    546.68x = 395,727.44
  5. Step 5: Solve for x
    x = 395,727.44/546.68
  6. Step 6: Final answer
    x = 723.87

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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.