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Finding the Fourth Proportional to 801.68, 1,106.40 and 452.43

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Solution

The fourth proportional to 801.68, 1,106.40 and 452.43 is: 624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.68 : 1,106.40 = 452.43 : x
  2. Step 2: Convert to fraction form
    801.68/1,106.40 = 452.43/x
  3. Step 3: Cross multiply
    801.68x = 1,106.40 × 452.43
  4. Step 4: Simplify right side
    801.68x = 500,568.55
  5. Step 5: Solve for x
    x = 500,568.55/801.68
  6. Step 6: Final answer
    x = 624.40

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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.