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Finding the Fourth Proportional to 579.27, 868.80 and 286.67

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Solution

The fourth proportional to 579.27, 868.80 and 286.67 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.27 : 868.80 = 286.67 : x
  2. Step 2: Convert to fraction form
    579.27/868.80 = 286.67/x
  3. Step 3: Cross multiply
    579.27x = 868.80 × 286.67
  4. Step 4: Simplify right side
    579.27x = 249,061.34
  5. Step 5: Solve for x
    x = 249,061.34/579.27
  6. Step 6: Final answer
    x = 429.96

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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.