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Finding the Fourth Proportional to 584.39, 876.60 and 219.14

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Solution

The fourth proportional to 584.39, 876.60 and 219.14 is: 328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.39 : 876.60 = 219.14 : x
  2. Step 2: Convert to fraction form
    584.39/876.60 = 219.14/x
  3. Step 3: Cross multiply
    584.39x = 876.60 × 219.14
  4. Step 4: Simplify right side
    584.39x = 192,098.12
  5. Step 5: Solve for x
    x = 192,098.12/584.39
  6. Step 6: Final answer
    x = 328.72

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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.