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Finding the Fourth Proportional to 810.24, 1,213.47 and 615.48

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Solution

The fourth proportional to 810.24, 1,213.47 and 615.48 is: 921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.24 : 1,213.47 = 615.48 : x
  2. Step 2: Convert to fraction form
    810.24/1,213.47 = 615.48/x
  3. Step 3: Cross multiply
    810.24x = 1,213.47 × 615.48
  4. Step 4: Simplify right side
    810.24x = 746,866.52
  5. Step 5: Solve for x
    x = 746,866.52/810.24
  6. Step 6: Final answer
    x = 921.78

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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.