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Finding the Fourth Proportional to 768.85, 1,147.37 and 686.84

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Solution

The fourth proportional to 768.85, 1,147.37 and 686.84 is: 1,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.85 : 1,147.37 = 686.84 : x
  2. Step 2: Convert to fraction form
    768.85/1,147.37 = 686.84/x
  3. Step 3: Cross multiply
    768.85x = 1,147.37 × 686.84
  4. Step 4: Simplify right side
    768.85x = 788,050.44
  5. Step 5: Solve for x
    x = 788,050.44/768.85
  6. Step 6: Final answer
    x = 1,024.98

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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.