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Finding the Fourth Proportional to 778.96, 1,168.30 and 291.88

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Solution

The fourth proportional to 778.96, 1,168.30 and 291.88 is: 437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.96 : 1,168.30 = 291.88 : x
  2. Step 2: Convert to fraction form
    778.96/1,168.30 = 291.88/x
  3. Step 3: Cross multiply
    778.96x = 1,168.30 × 291.88
  4. Step 4: Simplify right side
    778.96x = 341,003.40
  5. Step 5: Solve for x
    x = 341,003.40/778.96
  6. Step 6: Final answer
    x = 437.77

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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.