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Finding the Fourth Proportional to 936.80, 1,294.08 and 913.04

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Solution

The fourth proportional to 936.80, 1,294.08 and 913.04 is: 1,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.80 : 1,294.08 = 913.04 : x
  2. Step 2: Convert to fraction form
    936.80/1,294.08 = 913.04/x
  3. Step 3: Cross multiply
    936.80x = 1,294.08 × 913.04
  4. Step 4: Simplify right side
    936.80x = 1,181,546.80
  5. Step 5: Solve for x
    x = 1,181,546.80/936.80
  6. Step 6: Final answer
    x = 1,261.26

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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.