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Finding the Fourth Proportional to 892.58, 1,339.74 and 482.59

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Solution

The fourth proportional to 892.58, 1,339.74 and 482.59 is: 724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.58 : 1,339.74 = 482.59 : x
  2. Step 2: Convert to fraction form
    892.58/1,339.74 = 482.59/x
  3. Step 3: Cross multiply
    892.58x = 1,339.74 × 482.59
  4. Step 4: Simplify right side
    892.58x = 646,545.13
  5. Step 5: Solve for x
    x = 646,545.13/892.58
  6. Step 6: Final answer
    x = 724.36

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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.