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Finding the Fourth Proportional to 778.72, 1,073.48 and 653.44

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Solution

The fourth proportional to 778.72, 1,073.48 and 653.44 is: 900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.72 : 1,073.48 = 653.44 : x
  2. Step 2: Convert to fraction form
    778.72/1,073.48 = 653.44/x
  3. Step 3: Cross multiply
    778.72x = 1,073.48 × 653.44
  4. Step 4: Simplify right side
    778.72x = 701,454.77
  5. Step 5: Solve for x
    x = 701,454.77/778.72
  6. Step 6: Final answer
    x = 900.78

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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.