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Finding the Fourth Proportional to 1,146.38, 1,719.44 and 778.55

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Solution

The fourth proportional to 1,146.38, 1,719.44 and 778.55 is: 1,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.38 : 1,719.44 = 778.55 : x
  2. Step 2: Convert to fraction form
    1,146.38/1,719.44 = 778.55/x
  3. Step 3: Cross multiply
    1,146.38x = 1,719.44 × 778.55
  4. Step 4: Simplify right side
    1,146.38x = 1,338,657.52
  5. Step 5: Solve for x
    x = 1,338,657.52/1,146.38
  6. Step 6: Final answer
    x = 1,167.73

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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.