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Finding the Fourth Proportional to 801.67, 1,106.28 and 447.59

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Solution

The fourth proportional to 801.67, 1,106.28 and 447.59 is: 617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.67 : 1,106.28 = 447.59 : x
  2. Step 2: Convert to fraction form
    801.67/1,106.28 = 447.59/x
  3. Step 3: Cross multiply
    801.67x = 1,106.28 × 447.59
  4. Step 4: Simplify right side
    801.67x = 495,159.87
  5. Step 5: Solve for x
    x = 495,159.87/801.67
  6. Step 6: Final answer
    x = 617.66

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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.