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Finding the Fourth Proportional to 764.22, 1,051.70 and 731.40

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Solution

The fourth proportional to 764.22, 1,051.70 and 731.40 is: 1,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.22 : 1,051.70 = 731.40 : x
  2. Step 2: Convert to fraction form
    764.22/1,051.70 = 731.40/x
  3. Step 3: Cross multiply
    764.22x = 1,051.70 × 731.40
  4. Step 4: Simplify right side
    764.22x = 769,213.38
  5. Step 5: Solve for x
    x = 769,213.38/764.22
  6. Step 6: Final answer
    x = 1,006.53

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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.