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Finding the Fourth Proportional to 785.90, 1,176.25 and 758.22

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Solution

The fourth proportional to 785.90, 1,176.25 and 758.22 is: 1,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.90 : 1,176.25 = 758.22 : x
  2. Step 2: Convert to fraction form
    785.90/1,176.25 = 758.22/x
  3. Step 3: Cross multiply
    785.90x = 1,176.25 × 758.22
  4. Step 4: Simplify right side
    785.90x = 891,856.28
  5. Step 5: Solve for x
    x = 891,856.28/785.90
  6. Step 6: Final answer
    x = 1,134.82

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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.