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Finding the Fourth Proportional to 587.24, 879.54 and 312.85

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Solution

The fourth proportional to 587.24, 879.54 and 312.85 is: 468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.24 : 879.54 = 312.85 : x
  2. Step 2: Convert to fraction form
    587.24/879.54 = 312.85/x
  3. Step 3: Cross multiply
    587.24x = 879.54 × 312.85
  4. Step 4: Simplify right side
    587.24x = 275,164.09
  5. Step 5: Solve for x
    x = 275,164.09/587.24
  6. Step 6: Final answer
    x = 468.57

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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.