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Finding the Fourth Proportional to 730.74, 1,001.79 and 728.61

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Solution

The fourth proportional to 730.74, 1,001.79 and 728.61 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.74 : 1,001.79 = 728.61 : x
  2. Step 2: Convert to fraction form
    730.74/1,001.79 = 728.61/x
  3. Step 3: Cross multiply
    730.74x = 1,001.79 × 728.61
  4. Step 4: Simplify right side
    730.74x = 729,914.21
  5. Step 5: Solve for x
    x = 729,914.21/730.74
  6. Step 6: Final answer
    x = 998.87

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Double scale
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1.5x scale

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.