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Finding the Fourth Proportional to 587.15, 878.83 and 312.56

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Solution

The fourth proportional to 587.15, 878.83 and 312.56 is: 467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.15 : 878.83 = 312.56 : x
  2. Step 2: Convert to fraction form
    587.15/878.83 = 312.56/x
  3. Step 3: Cross multiply
    587.15x = 878.83 × 312.56
  4. Step 4: Simplify right side
    587.15x = 274,687.10
  5. Step 5: Solve for x
    x = 274,687.10/587.15
  6. Step 6: Final answer
    x = 467.83

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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.