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Finding the Fourth Proportional to 584.66, 876.90 and 219.40

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Solution

The fourth proportional to 584.66, 876.90 and 219.40 is: 329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.66 : 876.90 = 219.40 : x
  2. Step 2: Convert to fraction form
    584.66/876.90 = 219.40/x
  3. Step 3: Cross multiply
    584.66x = 876.90 × 219.40
  4. Step 4: Simplify right side
    584.66x = 192,391.86
  5. Step 5: Solve for x
    x = 192,391.86/584.66
  6. Step 6: Final answer
    x = 329.07

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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.