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Finding the Fourth Proportional to 547.20, 819.20 and 531.20

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Solution

The fourth proportional to 547.20, 819.20 and 531.20 is: 795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.20 : 819.20 = 531.20 : x
  2. Step 2: Convert to fraction form
    547.20/819.20 = 531.20/x
  3. Step 3: Cross multiply
    547.20x = 819.20 × 531.20
  4. Step 4: Simplify right side
    547.20x = 435,159.04
  5. Step 5: Solve for x
    x = 435,159.04/547.20
  6. Step 6: Final answer
    x = 795.25

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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.