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Finding the Fourth Proportional to 1,542.49, 2,312.71 and 849.49

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Solution

The fourth proportional to 1,542.49, 2,312.71 and 849.49 is: 1,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.49 : 2,312.71 = 849.49 : x
  2. Step 2: Convert to fraction form
    1,542.49/2,312.71 = 849.49/x
  3. Step 3: Cross multiply
    1,542.49x = 2,312.71 × 849.49
  4. Step 4: Simplify right side
    1,542.49x = 1,964,616.11
  5. Step 5: Solve for x
    x = 1,964,616.11/1,542.49
  6. Step 6: Final answer
    x = 1,273.66

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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.