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Finding the Fourth Proportional to 939.97, 1,294.68 and 846.46

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Solution

The fourth proportional to 939.97, 1,294.68 and 846.46 is: 1,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.97 : 1,294.68 = 846.46 : x
  2. Step 2: Convert to fraction form
    939.97/1,294.68 = 846.46/x
  3. Step 3: Cross multiply
    939.97x = 1,294.68 × 846.46
  4. Step 4: Simplify right side
    939.97x = 1,095,894.83
  5. Step 5: Solve for x
    x = 1,095,894.83/939.97
  6. Step 6: Final answer
    x = 1,165.88

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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.