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Finding the Fourth Proportional to 587.28, 879.30 and 442.56

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Solution

The fourth proportional to 587.28, 879.30 and 442.56 is: 662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.28 : 879.30 = 442.56 : x
  2. Step 2: Convert to fraction form
    587.28/879.30 = 442.56/x
  3. Step 3: Cross multiply
    587.28x = 879.30 × 442.56
  4. Step 4: Simplify right side
    587.28x = 389,143.01
  5. Step 5: Solve for x
    x = 389,143.01/587.28
  6. Step 6: Final answer
    x = 662.62

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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.