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Finding the Fourth Proportional to 778.96, 1,168.59 and 258.91

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Solution

The fourth proportional to 778.96, 1,168.59 and 258.91 is: 388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.96 : 1,168.59 = 258.91 : x
  2. Step 2: Convert to fraction form
    778.96/1,168.59 = 258.91/x
  3. Step 3: Cross multiply
    778.96x = 1,168.59 × 258.91
  4. Step 4: Simplify right side
    778.96x = 302,557.69
  5. Step 5: Solve for x
    x = 302,557.69/778.96
  6. Step 6: Final answer
    x = 388.41

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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.