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Finding the Fourth Proportional to 768.40, 1,060.63 and 729.22

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Solution

The fourth proportional to 768.40, 1,060.63 and 729.22 is: 1,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.40 : 1,060.63 = 729.22 : x
  2. Step 2: Convert to fraction form
    768.40/1,060.63 = 729.22/x
  3. Step 3: Cross multiply
    768.40x = 1,060.63 × 729.22
  4. Step 4: Simplify right side
    768.40x = 773,428.96
  5. Step 5: Solve for x
    x = 773,428.96/768.40
  6. Step 6: Final answer
    x = 1,006.54

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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.