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Finding the Fourth Proportional to 778.40, 1,166.82 and 316.10

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Solution

The fourth proportional to 778.40, 1,166.82 and 316.10 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.40 : 1,166.82 = 316.10 : x
  2. Step 2: Convert to fraction form
    778.40/1,166.82 = 316.10/x
  3. Step 3: Cross multiply
    778.40x = 1,166.82 × 316.10
  4. Step 4: Simplify right side
    778.40x = 368,831.80
  5. Step 5: Solve for x
    x = 368,831.80/778.40
  6. Step 6: Final answer
    x = 473.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.