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Finding the Fourth Proportional to 846.89, 1,264.42 and 731.21

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Solution

The fourth proportional to 846.89, 1,264.42 and 731.21 is: 1,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.89 : 1,264.42 = 731.21 : x
  2. Step 2: Convert to fraction form
    846.89/1,264.42 = 731.21/x
  3. Step 3: Cross multiply
    846.89x = 1,264.42 × 731.21
  4. Step 4: Simplify right side
    846.89x = 924,556.55
  5. Step 5: Solve for x
    x = 924,556.55/846.89
  6. Step 6: Final answer
    x = 1,091.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.