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Finding the Fourth Proportional to 750.26, 1,123.06 and 686.46

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Solution

The fourth proportional to 750.26, 1,123.06 and 686.46 is: 1,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.26 : 1,123.06 = 686.46 : x
  2. Step 2: Convert to fraction form
    750.26/1,123.06 = 686.46/x
  3. Step 3: Cross multiply
    750.26x = 1,123.06 × 686.46
  4. Step 4: Simplify right side
    750.26x = 770,935.77
  5. Step 5: Solve for x
    x = 770,935.77/750.26
  6. Step 6: Final answer
    x = 1,027.56

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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.