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Finding the Fourth Proportional to 730.56, 1,001.38 and 720.31

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Solution

The fourth proportional to 730.56, 1,001.38 and 720.31 is: 987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.56 : 1,001.38 = 720.31 : x
  2. Step 2: Convert to fraction form
    730.56/1,001.38 = 720.31/x
  3. Step 3: Cross multiply
    730.56x = 1,001.38 × 720.31
  4. Step 4: Simplify right side
    730.56x = 721,304.03
  5. Step 5: Solve for x
    x = 721,304.03/730.56
  6. Step 6: Final answer
    x = 987.33

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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.