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Finding the Fourth Proportional to 849.18, 1,272.66 and 615.71

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Solution

The fourth proportional to 849.18, 1,272.66 and 615.71 is: 922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.18 : 1,272.66 = 615.71 : x
  2. Step 2: Convert to fraction form
    849.18/1,272.66 = 615.71/x
  3. Step 3: Cross multiply
    849.18x = 1,272.66 × 615.71
  4. Step 4: Simplify right side
    849.18x = 783,583.13
  5. Step 5: Solve for x
    x = 783,583.13/849.18
  6. Step 6: Final answer
    x = 922.75

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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.