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Finding the Fourth Proportional to 801.62, 1,199.48 and 684.53

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Solution

The fourth proportional to 801.62, 1,199.48 and 684.53 is: 1,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.62 : 1,199.48 = 684.53 : x
  2. Step 2: Convert to fraction form
    801.62/1,199.48 = 684.53/x
  3. Step 3: Cross multiply
    801.62x = 1,199.48 × 684.53
  4. Step 4: Simplify right side
    801.62x = 821,079.62
  5. Step 5: Solve for x
    x = 821,079.62/801.62
  6. Step 6: Final answer
    x = 1,024.27

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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.