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Finding the Fourth Proportional to 881.52, 1,216.49 and 488.53

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Solution

The fourth proportional to 881.52, 1,216.49 and 488.53 is: 674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.52 : 1,216.49 = 488.53 : x
  2. Step 2: Convert to fraction form
    881.52/1,216.49 = 488.53/x
  3. Step 3: Cross multiply
    881.52x = 1,216.49 × 488.53
  4. Step 4: Simplify right side
    881.52x = 594,290.94
  5. Step 5: Solve for x
    x = 594,290.94/881.52
  6. Step 6: Final answer
    x = 674.17

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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.