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Finding the Fourth Proportional to 881.59, 1,216.57 and 488.61

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Solution

The fourth proportional to 881.59, 1,216.57 and 488.61 is: 674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.59 : 1,216.57 = 488.61 : x
  2. Step 2: Convert to fraction form
    881.59/1,216.57 = 488.61/x
  3. Step 3: Cross multiply
    881.59x = 1,216.57 × 488.61
  4. Step 4: Simplify right side
    881.59x = 594,428.27
  5. Step 5: Solve for x
    x = 594,428.27/881.59
  6. Step 6: Final answer
    x = 674.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.