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Finding the Fourth Proportional to 936.93, 1,294.63 and 812.40

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Solution

The fourth proportional to 936.93, 1,294.63 and 812.40 is: 1,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.93 : 1,294.63 = 812.40 : x
  2. Step 2: Convert to fraction form
    936.93/1,294.63 = 812.40/x
  3. Step 3: Cross multiply
    936.93x = 1,294.63 × 812.40
  4. Step 4: Simplify right side
    936.93x = 1,051,755.10
  5. Step 5: Solve for x
    x = 1,051,755.10/936.93
  6. Step 6: Final answer
    x = 1,122.55

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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.