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Finding the Fourth Proportional to 543.57, 811.11 and 531.15

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Solution

The fourth proportional to 543.57, 811.11 and 531.15 is: 792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.57 : 811.11 = 531.15 : x
  2. Step 2: Convert to fraction form
    543.57/811.11 = 531.15/x
  3. Step 3: Cross multiply
    543.57x = 811.11 × 531.15
  4. Step 4: Simplify right side
    543.57x = 430,821.08
  5. Step 5: Solve for x
    x = 430,821.08/543.57
  6. Step 6: Final answer
    x = 792.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.