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Finding the Fourth Proportional to 584.92, 876.78 and 310.72

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Solution

The fourth proportional to 584.92, 876.78 and 310.72 is: 465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 876.78 = 310.72 : x
  2. Step 2: Convert to fraction form
    584.92/876.78 = 310.72/x
  3. Step 3: Cross multiply
    584.92x = 876.78 × 310.72
  4. Step 4: Simplify right side
    584.92x = 272,433.08
  5. Step 5: Solve for x
    x = 272,433.08/584.92
  6. Step 6: Final answer
    x = 465.76

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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.