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Finding the Fourth Proportional to 785.81, 1,178.78 and 775.15

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Solution

The fourth proportional to 785.81, 1,178.78 and 775.15 is: 1,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.81 : 1,178.78 = 775.15 : x
  2. Step 2: Convert to fraction form
    785.81/1,178.78 = 775.15/x
  3. Step 3: Cross multiply
    785.81x = 1,178.78 × 775.15
  4. Step 4: Simplify right side
    785.81x = 913,721.55
  5. Step 5: Solve for x
    x = 913,721.55/785.81
  6. Step 6: Final answer
    x = 1,162.78

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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.