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Finding the Fourth Proportional to 806.24, 1,209.68 and 733.92

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Solution

The fourth proportional to 806.24, 1,209.68 and 733.92 is: 1,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.24 : 1,209.68 = 733.92 : x
  2. Step 2: Convert to fraction form
    806.24/1,209.68 = 733.92/x
  3. Step 3: Cross multiply
    806.24x = 1,209.68 × 733.92
  4. Step 4: Simplify right side
    806.24x = 887,808.35
  5. Step 5: Solve for x
    x = 887,808.35/806.24
  6. Step 6: Final answer
    x = 1,101.17

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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.