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Finding the Fourth Proportional to 778.32, 1,172.22 and 688.04

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Solution

The fourth proportional to 778.32, 1,172.22 and 688.04 is: 1,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.32 : 1,172.22 = 688.04 : x
  2. Step 2: Convert to fraction form
    778.32/1,172.22 = 688.04/x
  3. Step 3: Cross multiply
    778.32x = 1,172.22 × 688.04
  4. Step 4: Simplify right side
    778.32x = 806,534.25
  5. Step 5: Solve for x
    x = 806,534.25/778.32
  6. Step 6: Final answer
    x = 1,036.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.