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Finding the Fourth Proportional to 801.50, 1,202.31 and 411.35

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Solution

The fourth proportional to 801.50, 1,202.31 and 411.35 is: 617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.50 : 1,202.31 = 411.35 : x
  2. Step 2: Convert to fraction form
    801.50/1,202.31 = 411.35/x
  3. Step 3: Cross multiply
    801.50x = 1,202.31 × 411.35
  4. Step 4: Simplify right side
    801.50x = 494,564.21
  5. Step 5: Solve for x
    x = 494,564.21/801.50
  6. Step 6: Final answer
    x = 617.05

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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.