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Finding the Fourth Proportional to 747.96, 1,116.76 and 740.56

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Solution

The fourth proportional to 747.96, 1,116.76 and 740.56 is: 1,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.96 : 1,116.76 = 740.56 : x
  2. Step 2: Convert to fraction form
    747.96/1,116.76 = 740.56/x
  3. Step 3: Cross multiply
    747.96x = 1,116.76 × 740.56
  4. Step 4: Simplify right side
    747.96x = 827,027.79
  5. Step 5: Solve for x
    x = 827,027.79/747.96
  6. Step 6: Final answer
    x = 1,105.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.