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Finding the Fourth Proportional to 713.94, 985.29 and 691.26

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Solution

The fourth proportional to 713.94, 985.29 and 691.26 is: 953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.94 : 985.29 = 691.26 : x
  2. Step 2: Convert to fraction form
    713.94/985.29 = 691.26/x
  3. Step 3: Cross multiply
    713.94x = 985.29 × 691.26
  4. Step 4: Simplify right side
    713.94x = 681,091.57
  5. Step 5: Solve for x
    x = 681,091.57/713.94
  6. Step 6: Final answer
    x = 953.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.