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Finding the Fourth Proportional to 587.75, 881.11 and 314.04

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Solution

The fourth proportional to 587.75, 881.11 and 314.04 is: 470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.75 : 881.11 = 314.04 : x
  2. Step 2: Convert to fraction form
    587.75/881.11 = 314.04/x
  3. Step 3: Cross multiply
    587.75x = 881.11 × 314.04
  4. Step 4: Simplify right side
    587.75x = 276,703.78
  5. Step 5: Solve for x
    x = 276,703.78/587.75
  6. Step 6: Final answer
    x = 470.78

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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.