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Finding the Fourth Proportional to 713.20, 1,010.44 and 713.20

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Solution

The fourth proportional to 713.20, 1,010.44 and 713.20 is: 1,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.20 : 1,010.44 = 713.20 : x
  2. Step 2: Convert to fraction form
    713.20/1,010.44 = 713.20/x
  3. Step 3: Cross multiply
    713.20x = 1,010.44 × 713.20
  4. Step 4: Simplify right side
    713.20x = 720,645.81
  5. Step 5: Solve for x
    x = 720,645.81/713.20
  6. Step 6: Final answer
    x = 1,010.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.