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Finding the Fourth Proportional to 881.24, 1,216.23 and 488.30

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Solution

The fourth proportional to 881.24, 1,216.23 and 488.30 is: 673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.24 : 1,216.23 = 488.30 : x
  2. Step 2: Convert to fraction form
    881.24/1,216.23 = 488.30/x
  3. Step 3: Cross multiply
    881.24x = 1,216.23 × 488.30
  4. Step 4: Simplify right side
    881.24x = 593,885.11
  5. Step 5: Solve for x
    x = 593,885.11/881.24
  6. Step 6: Final answer
    x = 673.92

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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.