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Finding the Fourth Proportional to 585.75, 878.11 and 312.04

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Solution

The fourth proportional to 585.75, 878.11 and 312.04 is: 467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.75 : 878.11 = 312.04 : x
  2. Step 2: Convert to fraction form
    585.75/878.11 = 312.04/x
  3. Step 3: Cross multiply
    585.75x = 878.11 × 312.04
  4. Step 4: Simplify right side
    585.75x = 274,005.44
  5. Step 5: Solve for x
    x = 274,005.44/585.75
  6. Step 6: Final answer
    x = 467.79

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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.