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Finding the Fourth Proportional to 768.70, 1,060.68 and 729.79

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Solution

The fourth proportional to 768.70, 1,060.68 and 729.79 is: 1,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.70 : 1,060.68 = 729.79 : x
  2. Step 2: Convert to fraction form
    768.70/1,060.68 = 729.79/x
  3. Step 3: Cross multiply
    768.70x = 1,060.68 × 729.79
  4. Step 4: Simplify right side
    768.70x = 774,073.66
  5. Step 5: Solve for x
    x = 774,073.66/768.70
  6. Step 6: Final answer
    x = 1,006.99

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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.