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Finding the Fourth Proportional to 740.56, 1,016.38 and 660.05

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Solution

The fourth proportional to 740.56, 1,016.38 and 660.05 is: 905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.56 : 1,016.38 = 660.05 : x
  2. Step 2: Convert to fraction form
    740.56/1,016.38 = 660.05/x
  3. Step 3: Cross multiply
    740.56x = 1,016.38 × 660.05
  4. Step 4: Simplify right side
    740.56x = 670,861.62
  5. Step 5: Solve for x
    x = 670,861.62/740.56
  6. Step 6: Final answer
    x = 905.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.