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Finding the Fourth Proportional to 801.60, 1,200.78 and 637.33

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Solution

The fourth proportional to 801.60, 1,200.78 and 637.33 is: 954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.60 : 1,200.78 = 637.33 : x
  2. Step 2: Convert to fraction form
    801.60/1,200.78 = 637.33/x
  3. Step 3: Cross multiply
    801.60x = 1,200.78 × 637.33
  4. Step 4: Simplify right side
    801.60x = 765,293.12
  5. Step 5: Solve for x
    x = 765,293.12/801.60
  6. Step 6: Final answer
    x = 954.71

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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.