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Finding the Fourth Proportional to 801.12, 1,207.12 and 667.16

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Solution

The fourth proportional to 801.12, 1,207.12 and 667.16 is: 1,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.12 : 1,207.12 = 667.16 : x
  2. Step 2: Convert to fraction form
    801.12/1,207.12 = 667.16/x
  3. Step 3: Cross multiply
    801.12x = 1,207.12 × 667.16
  4. Step 4: Simplify right side
    801.12x = 805,342.18
  5. Step 5: Solve for x
    x = 805,342.18/801.12
  6. Step 6: Final answer
    x = 1,005.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.