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Finding the Fourth Proportional to 892.74, 1,339.12 and 586.54

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Solution

The fourth proportional to 892.74, 1,339.12 and 586.54 is: 879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.74 : 1,339.12 = 586.54 : x
  2. Step 2: Convert to fraction form
    892.74/1,339.12 = 586.54/x
  3. Step 3: Cross multiply
    892.74x = 1,339.12 × 586.54
  4. Step 4: Simplify right side
    892.74x = 785,447.44
  5. Step 5: Solve for x
    x = 785,447.44/892.74
  6. Step 6: Final answer
    x = 879.82

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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.