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Finding the Fourth Proportional to 1,231.74, 1,849.77 and 769.50

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Solution

The fourth proportional to 1,231.74, 1,849.77 and 769.50 is: 1,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.74 : 1,849.77 = 769.50 : x
  2. Step 2: Convert to fraction form
    1,231.74/1,849.77 = 769.50/x
  3. Step 3: Cross multiply
    1,231.74x = 1,849.77 × 769.50
  4. Step 4: Simplify right side
    1,231.74x = 1,423,398.02
  5. Step 5: Solve for x
    x = 1,423,398.02/1,231.74
  6. Step 6: Final answer
    x = 1,155.60

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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.