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Finding the Fourth Proportional to 779.12, 1,073.24 and 729.20

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Solution

The fourth proportional to 779.12, 1,073.24 and 729.20 is: 1,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.12 : 1,073.24 = 729.20 : x
  2. Step 2: Convert to fraction form
    779.12/1,073.24 = 729.20/x
  3. Step 3: Cross multiply
    779.12x = 1,073.24 × 729.20
  4. Step 4: Simplify right side
    779.12x = 782,606.61
  5. Step 5: Solve for x
    x = 782,606.61/779.12
  6. Step 6: Final answer
    x = 1,004.48

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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.