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Finding the Fourth Proportional to 1,034.60, 1,429 and 773.78

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Solution

The fourth proportional to 1,034.60, 1,429 and 773.78 is: 1,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.60 : 1,429 = 773.78 : x
  2. Step 2: Convert to fraction form
    1,034.60/1,429 = 773.78/x
  3. Step 3: Cross multiply
    1,034.60x = 1,429 × 773.78
  4. Step 4: Simplify right side
    1,034.60x = 1,105,731.62
  5. Step 5: Solve for x
    x = 1,105,731.62/1,034.60
  6. Step 6: Final answer
    x = 1,068.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.