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Finding the Fourth Proportional to 801.38, 1,200.99 and 454.58

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Solution

The fourth proportional to 801.38, 1,200.99 and 454.58 is: 681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.38 : 1,200.99 = 454.58 : x
  2. Step 2: Convert to fraction form
    801.38/1,200.99 = 454.58/x
  3. Step 3: Cross multiply
    801.38x = 1,200.99 × 454.58
  4. Step 4: Simplify right side
    801.38x = 545,946.24
  5. Step 5: Solve for x
    x = 545,946.24/801.38
  6. Step 6: Final answer
    x = 681.26

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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.