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Finding the Fourth Proportional to 801.57, 1,106.17 and 452.26

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Solution

The fourth proportional to 801.57, 1,106.17 and 452.26 is: 624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.57 : 1,106.17 = 452.26 : x
  2. Step 2: Convert to fraction form
    801.57/1,106.17 = 452.26/x
  3. Step 3: Cross multiply
    801.57x = 1,106.17 × 452.26
  4. Step 4: Simplify right side
    801.57x = 500,274.18
  5. Step 5: Solve for x
    x = 500,274.18/801.57
  6. Step 6: Final answer
    x = 624.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.