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Finding the Fourth Proportional to 815.47, 1,224.62 and 543.31

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Solution

The fourth proportional to 815.47, 1,224.62 and 543.31 is: 815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.47 : 1,224.62 = 543.31 : x
  2. Step 2: Convert to fraction form
    815.47/1,224.62 = 543.31/x
  3. Step 3: Cross multiply
    815.47x = 1,224.62 × 543.31
  4. Step 4: Simplify right side
    815.47x = 665,344.55
  5. Step 5: Solve for x
    x = 665,344.55/815.47
  6. Step 6: Final answer
    x = 815.91

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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.