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Finding the Fourth Proportional to 739.32, 1,102.20 and 656.70

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Solution

The fourth proportional to 739.32, 1,102.20 and 656.70 is: 979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.32 : 1,102.20 = 656.70 : x
  2. Step 2: Convert to fraction form
    739.32/1,102.20 = 656.70/x
  3. Step 3: Cross multiply
    739.32x = 1,102.20 × 656.70
  4. Step 4: Simplify right side
    739.32x = 723,814.74
  5. Step 5: Solve for x
    x = 723,814.74/739.32
  6. Step 6: Final answer
    x = 979.03

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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.