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Finding the Fourth Proportional to 785.79, 1,171.46 and 724.14

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Solution

The fourth proportional to 785.79, 1,171.46 and 724.14 is: 1,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.79 : 1,171.46 = 724.14 : x
  2. Step 2: Convert to fraction form
    785.79/1,171.46 = 724.14/x
  3. Step 3: Cross multiply
    785.79x = 1,171.46 × 724.14
  4. Step 4: Simplify right side
    785.79x = 848,301.04
  5. Step 5: Solve for x
    x = 848,301.04/785.79
  6. Step 6: Final answer
    x = 1,079.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.