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Finding the Fourth Proportional to 546.48, 752.49 and 484.65

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Solution

The fourth proportional to 546.48, 752.49 and 484.65 is: 667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 752.49 = 484.65 : x
  2. Step 2: Convert to fraction form
    546.48/752.49 = 484.65/x
  3. Step 3: Cross multiply
    546.48x = 752.49 × 484.65
  4. Step 4: Simplify right side
    546.48x = 364,694.28
  5. Step 5: Solve for x
    x = 364,694.28/546.48
  6. Step 6: Final answer
    x = 667.35

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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.