Home / 1,142.19-1,715.31-849.78

Finding the Fourth Proportional to 1,142.19, 1,715.31 and 849.78

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Solution

The fourth proportional to 1,142.19, 1,715.31 and 849.78 is: 1,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.19 : 1,715.31 = 849.78 : x
  2. Step 2: Convert to fraction form
    1,142.19/1,715.31 = 849.78/x
  3. Step 3: Cross multiply
    1,142.19x = 1,715.31 × 849.78
  4. Step 4: Simplify right side
    1,142.19x = 1,457,636.13
  5. Step 5: Solve for x
    x = 1,457,636.13/1,142.19
  6. Step 6: Final answer
    x = 1,276.18

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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.