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Finding the Fourth Proportional to 578.78, 869.45 and 322.14

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Solution

The fourth proportional to 578.78, 869.45 and 322.14 is: 483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 869.45 = 322.14 : x
  2. Step 2: Convert to fraction form
    578.78/869.45 = 322.14/x
  3. Step 3: Cross multiply
    578.78x = 869.45 × 322.14
  4. Step 4: Simplify right side
    578.78x = 280,084.62
  5. Step 5: Solve for x
    x = 280,084.62/578.78
  6. Step 6: Final answer
    x = 483.92

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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.