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Finding the Fourth Proportional to 785.13, 1,170.84 and 742.02

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Solution

The fourth proportional to 785.13, 1,170.84 and 742.02 is: 1,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.13 : 1,170.84 = 742.02 : x
  2. Step 2: Convert to fraction form
    785.13/1,170.84 = 742.02/x
  3. Step 3: Cross multiply
    785.13x = 1,170.84 × 742.02
  4. Step 4: Simplify right side
    785.13x = 868,786.70
  5. Step 5: Solve for x
    x = 868,786.70/785.13
  6. Step 6: Final answer
    x = 1,106.55

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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.