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Finding the Fourth Proportional to 578.93, 868.68 and 319.13

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Solution

The fourth proportional to 578.93, 868.68 and 319.13 is: 478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.93 : 868.68 = 319.13 : x
  2. Step 2: Convert to fraction form
    578.93/868.68 = 319.13/x
  3. Step 3: Cross multiply
    578.93x = 868.68 × 319.13
  4. Step 4: Simplify right side
    578.93x = 277,217.51
  5. Step 5: Solve for x
    x = 277,217.51/578.93
  6. Step 6: Final answer
    x = 478.85

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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.