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Finding the Fourth Proportional to 801.08, 1,200.84 and 411.08

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Solution

The fourth proportional to 801.08, 1,200.84 and 411.08 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.08 : 1,200.84 = 411.08 : x
  2. Step 2: Convert to fraction form
    801.08/1,200.84 = 411.08/x
  3. Step 3: Cross multiply
    801.08x = 1,200.84 × 411.08
  4. Step 4: Simplify right side
    801.08x = 493,641.31
  5. Step 5: Solve for x
    x = 493,641.31/801.08
  6. Step 6: Final answer
    x = 616.22

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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.