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Finding the Fourth Proportional to 731.21, 1,007.40 and 696.65

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Solution

The fourth proportional to 731.21, 1,007.40 and 696.65 is: 959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.21 : 1,007.40 = 696.65 : x
  2. Step 2: Convert to fraction form
    731.21/1,007.40 = 696.65/x
  3. Step 3: Cross multiply
    731.21x = 1,007.40 × 696.65
  4. Step 4: Simplify right side
    731.21x = 701,805.21
  5. Step 5: Solve for x
    x = 701,805.21/731.21
  6. Step 6: Final answer
    x = 959.79

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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.