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Finding the Fourth Proportional to 750.76, 1,123.26 and 426.28

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Solution

The fourth proportional to 750.76, 1,123.26 and 426.28 is: 637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.76 : 1,123.26 = 426.28 : x
  2. Step 2: Convert to fraction form
    750.76/1,123.26 = 426.28/x
  3. Step 3: Cross multiply
    750.76x = 1,123.26 × 426.28
  4. Step 4: Simplify right side
    750.76x = 478,823.27
  5. Step 5: Solve for x
    x = 478,823.27/750.76
  6. Step 6: Final answer
    x = 637.78

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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.