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Finding the Fourth Proportional to 778.53, 1,161.52 and 750.17

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Solution

The fourth proportional to 778.53, 1,161.52 and 750.17 is: 1,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.53 : 1,161.52 = 750.17 : x
  2. Step 2: Convert to fraction form
    778.53/1,161.52 = 750.17/x
  3. Step 3: Cross multiply
    778.53x = 1,161.52 × 750.17
  4. Step 4: Simplify right side
    778.53x = 871,333.71
  5. Step 5: Solve for x
    x = 871,333.71/778.53
  6. Step 6: Final answer
    x = 1,119.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.