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Finding the Fourth Proportional to 584.29, 876.71 and 219.07

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Solution

The fourth proportional to 584.29, 876.71 and 219.07 is: 328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.29 : 876.71 = 219.07 : x
  2. Step 2: Convert to fraction form
    584.29/876.71 = 219.07/x
  3. Step 3: Cross multiply
    584.29x = 876.71 × 219.07
  4. Step 4: Simplify right side
    584.29x = 192,060.86
  5. Step 5: Solve for x
    x = 192,060.86/584.29
  6. Step 6: Final answer
    x = 328.71

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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.