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Finding the Fourth Proportional to 1,123.78, 1,686.26 and 849.79

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Solution

The fourth proportional to 1,123.78, 1,686.26 and 849.79 is: 1,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.78 : 1,686.26 = 849.79 : x
  2. Step 2: Convert to fraction form
    1,123.78/1,686.26 = 849.79/x
  3. Step 3: Cross multiply
    1,123.78x = 1,686.26 × 849.79
  4. Step 4: Simplify right side
    1,123.78x = 1,432,962.64
  5. Step 5: Solve for x
    x = 1,432,962.64/1,123.78
  6. Step 6: Final answer
    x = 1,275.13

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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.