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Finding the Fourth Proportional to 931.72, 1,397.82 and 767.46

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Solution

The fourth proportional to 931.72, 1,397.82 and 767.46 is: 1,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.72 : 1,397.82 = 767.46 : x
  2. Step 2: Convert to fraction form
    931.72/1,397.82 = 767.46/x
  3. Step 3: Cross multiply
    931.72x = 1,397.82 × 767.46
  4. Step 4: Simplify right side
    931.72x = 1,072,770.94
  5. Step 5: Solve for x
    x = 1,072,770.94/931.72
  6. Step 6: Final answer
    x = 1,151.39

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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.