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Finding the Fourth Proportional to 936.20, 1,402.68 and 813.68

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Solution

The fourth proportional to 936.20, 1,402.68 and 813.68 is: 1,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.20 : 1,402.68 = 813.68 : x
  2. Step 2: Convert to fraction form
    936.20/1,402.68 = 813.68/x
  3. Step 3: Cross multiply
    936.20x = 1,402.68 × 813.68
  4. Step 4: Simplify right side
    936.20x = 1,141,332.66
  5. Step 5: Solve for x
    x = 1,141,332.66/936.20
  6. Step 6: Final answer
    x = 1,219.11

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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.