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Finding the Fourth Proportional to 778.76, 1,168.13 and 291.95

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Solution

The fourth proportional to 778.76, 1,168.13 and 291.95 is: 437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.76 : 1,168.13 = 291.95 : x
  2. Step 2: Convert to fraction form
    778.76/1,168.13 = 291.95/x
  3. Step 3: Cross multiply
    778.76x = 1,168.13 × 291.95
  4. Step 4: Simplify right side
    778.76x = 341,030.44
  5. Step 5: Solve for x
    x = 341,030.44/778.76
  6. Step 6: Final answer
    x = 437.92

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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.