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Finding the Fourth Proportional to 724.18, 991.01 and 709.06

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Solution

The fourth proportional to 724.18, 991.01 and 709.06 is: 970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.18 : 991.01 = 709.06 : x
  2. Step 2: Convert to fraction form
    724.18/991.01 = 709.06/x
  3. Step 3: Cross multiply
    724.18x = 991.01 × 709.06
  4. Step 4: Simplify right side
    724.18x = 702,685.55
  5. Step 5: Solve for x
    x = 702,685.55/724.18
  6. Step 6: Final answer
    x = 970.32

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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.