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Finding the Fourth Proportional to 778.25, 1,167.40 and 258.29

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Solution

The fourth proportional to 778.25, 1,167.40 and 258.29 is: 387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.25 : 1,167.40 = 258.29 : x
  2. Step 2: Convert to fraction form
    778.25/1,167.40 = 258.29/x
  3. Step 3: Cross multiply
    778.25x = 1,167.40 × 258.29
  4. Step 4: Simplify right side
    778.25x = 301,526.45
  5. Step 5: Solve for x
    x = 301,526.45/778.25
  6. Step 6: Final answer
    x = 387.44

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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.