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Finding the Fourth Proportional to 929.97, 1,282.80 and 615.24

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Solution

The fourth proportional to 929.97, 1,282.80 and 615.24 is: 848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.97 : 1,282.80 = 615.24 : x
  2. Step 2: Convert to fraction form
    929.97/1,282.80 = 615.24/x
  3. Step 3: Cross multiply
    929.97x = 1,282.80 × 615.24
  4. Step 4: Simplify right side
    929.97x = 789,229.87
  5. Step 5: Solve for x
    x = 789,229.87/929.97
  6. Step 6: Final answer
    x = 848.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.