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Finding the Fourth Proportional to 778.88, 1,162.64 and 718.40

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Solution

The fourth proportional to 778.88, 1,162.64 and 718.40 is: 1,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.88 : 1,162.64 = 718.40 : x
  2. Step 2: Convert to fraction form
    778.88/1,162.64 = 718.40/x
  3. Step 3: Cross multiply
    778.88x = 1,162.64 × 718.40
  4. Step 4: Simplify right side
    778.88x = 835,240.58
  5. Step 5: Solve for x
    x = 835,240.58/778.88
  6. Step 6: Final answer
    x = 1,072.36

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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.