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Finding the Fourth Proportional to 778.81, 1,162.48 and 713.87

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Solution

The fourth proportional to 778.81, 1,162.48 and 713.87 is: 1,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.81 : 1,162.48 = 713.87 : x
  2. Step 2: Convert to fraction form
    778.81/1,162.48 = 713.87/x
  3. Step 3: Cross multiply
    778.81x = 1,162.48 × 713.87
  4. Step 4: Simplify right side
    778.81x = 829,859.60
  5. Step 5: Solve for x
    x = 829,859.60/778.81
  6. Step 6: Final answer
    x = 1,065.55

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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.