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Finding the Fourth Proportional to 1,112.50, 1,535.17 and 615.14

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Solution

The fourth proportional to 1,112.50, 1,535.17 and 615.14 is: 848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.50 : 1,535.17 = 615.14 : x
  2. Step 2: Convert to fraction form
    1,112.50/1,535.17 = 615.14/x
  3. Step 3: Cross multiply
    1,112.50x = 1,535.17 × 615.14
  4. Step 4: Simplify right side
    1,112.50x = 944,344.47
  5. Step 5: Solve for x
    x = 944,344.47/1,112.50
  6. Step 6: Final answer
    x = 848.85

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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.