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Finding the Fourth Proportional to 801.57, 1,202.98 and 411.55

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Solution

The fourth proportional to 801.57, 1,202.98 and 411.55 is: 617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.57 : 1,202.98 = 411.55 : x
  2. Step 2: Convert to fraction form
    801.57/1,202.98 = 411.55/x
  3. Step 3: Cross multiply
    801.57x = 1,202.98 × 411.55
  4. Step 4: Simplify right side
    801.57x = 495,085.39
  5. Step 5: Solve for x
    x = 495,085.39/801.57
  6. Step 6: Final answer
    x = 617.65

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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.