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Finding the Fourth Proportional to 778.18, 1,166.64 and 290.96

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Solution

The fourth proportional to 778.18, 1,166.64 and 290.96 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.18 : 1,166.64 = 290.96 : x
  2. Step 2: Convert to fraction form
    778.18/1,166.64 = 290.96/x
  3. Step 3: Cross multiply
    778.18x = 1,166.64 × 290.96
  4. Step 4: Simplify right side
    778.18x = 339,445.57
  5. Step 5: Solve for x
    x = 339,445.57/778.18
  6. Step 6: Final answer
    x = 436.20

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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.