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Finding the Fourth Proportional to 733.59, 1,101.40 and 409.19

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Solution

The fourth proportional to 733.59, 1,101.40 and 409.19 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.59 : 1,101.40 = 409.19 : x
  2. Step 2: Convert to fraction form
    733.59/1,101.40 = 409.19/x
  3. Step 3: Cross multiply
    733.59x = 1,101.40 × 409.19
  4. Step 4: Simplify right side
    733.59x = 450,675.34
  5. Step 5: Solve for x
    x = 450,675.34/733.59
  6. Step 6: Final answer
    x = 614.34

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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.