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Finding the Fourth Proportional to 851.41, 1,274.08 and 731.13

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Solution

The fourth proportional to 851.41, 1,274.08 and 731.13 is: 1,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.41 : 1,274.08 = 731.13 : x
  2. Step 2: Convert to fraction form
    851.41/1,274.08 = 731.13/x
  3. Step 3: Cross multiply
    851.41x = 1,274.08 × 731.13
  4. Step 4: Simplify right side
    851.41x = 931,512.88
  5. Step 5: Solve for x
    x = 931,512.88/851.41
  6. Step 6: Final answer
    x = 1,094.08

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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.