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Finding the Fourth Proportional to 1,216.08, 1,679.52 and 824.16

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Solution

The fourth proportional to 1,216.08, 1,679.52 and 824.16 is: 1,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.08 : 1,679.52 = 824.16 : x
  2. Step 2: Convert to fraction form
    1,216.08/1,679.52 = 824.16/x
  3. Step 3: Cross multiply
    1,216.08x = 1,679.52 × 824.16
  4. Step 4: Simplify right side
    1,216.08x = 1,384,193.20
  5. Step 5: Solve for x
    x = 1,384,193.20/1,216.08
  6. Step 6: Final answer
    x = 1,138.24

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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.