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Finding the Fourth Proportional to 584.46, 876.72 and 199.74

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Solution

The fourth proportional to 584.46, 876.72 and 199.74 is: 299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.46 : 876.72 = 199.74 : x
  2. Step 2: Convert to fraction form
    584.46/876.72 = 199.74/x
  3. Step 3: Cross multiply
    584.46x = 876.72 × 199.74
  4. Step 4: Simplify right side
    584.46x = 175,116.05
  5. Step 5: Solve for x
    x = 175,116.05/584.46
  6. Step 6: Final answer
    x = 299.62

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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.