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Finding the Fourth Proportional to 584.27, 875.86 and 219.29

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Solution

The fourth proportional to 584.27, 875.86 and 219.29 is: 328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.27 : 875.86 = 219.29 : x
  2. Step 2: Convert to fraction form
    584.27/875.86 = 219.29/x
  3. Step 3: Cross multiply
    584.27x = 875.86 × 219.29
  4. Step 4: Simplify right side
    584.27x = 192,068.98
  5. Step 5: Solve for x
    x = 192,068.98/584.27
  6. Step 6: Final answer
    x = 328.74

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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.