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Finding the Fourth Proportional to 769.85, 1,148.86 and 687.84

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Solution

The fourth proportional to 769.85, 1,148.86 and 687.84 is: 1,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.85 : 1,148.86 = 687.84 : x
  2. Step 2: Convert to fraction form
    769.85/1,148.86 = 687.84/x
  3. Step 3: Cross multiply
    769.85x = 1,148.86 × 687.84
  4. Step 4: Simplify right side
    769.85x = 790,231.86
  5. Step 5: Solve for x
    x = 790,231.86/769.85
  6. Step 6: Final answer
    x = 1,026.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.