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Finding the Fourth Proportional to 931.98, 1,397.94 and 794.13

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Solution

The fourth proportional to 931.98, 1,397.94 and 794.13 is: 1,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.98 : 1,397.94 = 794.13 : x
  2. Step 2: Convert to fraction form
    931.98/1,397.94 = 794.13/x
  3. Step 3: Cross multiply
    931.98x = 1,397.94 × 794.13
  4. Step 4: Simplify right side
    931.98x = 1,110,146.09
  5. Step 5: Solve for x
    x = 1,110,146.09/931.98
  6. Step 6: Final answer
    x = 1,191.17

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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.