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Finding the Fourth Proportional to 968.59, 1,450.02 and 726.19

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Solution

The fourth proportional to 968.59, 1,450.02 and 726.19 is: 1,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.59 : 1,450.02 = 726.19 : x
  2. Step 2: Convert to fraction form
    968.59/1,450.02 = 726.19/x
  3. Step 3: Cross multiply
    968.59x = 1,450.02 × 726.19
  4. Step 4: Simplify right side
    968.59x = 1,052,990.02
  5. Step 5: Solve for x
    x = 1,052,990.02/968.59
  6. Step 6: Final answer
    x = 1,087.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.