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Finding the Fourth Proportional to 721.10, 1,079.55 and 548.45

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Solution

The fourth proportional to 721.10, 1,079.55 and 548.45 is: 821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.10 : 1,079.55 = 548.45 : x
  2. Step 2: Convert to fraction form
    721.10/1,079.55 = 548.45/x
  3. Step 3: Cross multiply
    721.10x = 1,079.55 × 548.45
  4. Step 4: Simplify right side
    721.10x = 592,073.80
  5. Step 5: Solve for x
    x = 592,073.80/721.10
  6. Step 6: Final answer
    x = 821.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.