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Finding the Fourth Proportional to 931.68, 1,391.14 and 794.66

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Solution

The fourth proportional to 931.68, 1,391.14 and 794.66 is: 1,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.68 : 1,391.14 = 794.66 : x
  2. Step 2: Convert to fraction form
    931.68/1,391.14 = 794.66/x
  3. Step 3: Cross multiply
    931.68x = 1,391.14 × 794.66
  4. Step 4: Simplify right side
    931.68x = 1,105,481.82
  5. Step 5: Solve for x
    x = 1,105,481.82/931.68
  6. Step 6: Final answer
    x = 1,186.54

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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.