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Finding the Fourth Proportional to 722.52, 1,001.13 and 713.16

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Solution

The fourth proportional to 722.52, 1,001.13 and 713.16 is: 988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.52 : 1,001.13 = 713.16 : x
  2. Step 2: Convert to fraction form
    722.52/1,001.13 = 713.16/x
  3. Step 3: Cross multiply
    722.52x = 1,001.13 × 713.16
  4. Step 4: Simplify right side
    722.52x = 713,965.87
  5. Step 5: Solve for x
    x = 713,965.87/722.52
  6. Step 6: Final answer
    x = 988.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.