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Finding the Fourth Proportional to 913.86, 1,363.44 and 798.14

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Solution

The fourth proportional to 913.86, 1,363.44 and 798.14 is: 1,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.86 : 1,363.44 = 798.14 : x
  2. Step 2: Convert to fraction form
    913.86/1,363.44 = 798.14/x
  3. Step 3: Cross multiply
    913.86x = 1,363.44 × 798.14
  4. Step 4: Simplify right side
    913.86x = 1,088,209.18
  5. Step 5: Solve for x
    x = 1,088,209.18/913.86
  6. Step 6: Final answer
    x = 1,190.78

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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.