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Finding the Fourth Proportional to 733.39, 1,012.09 and 401.81

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Solution

The fourth proportional to 733.39, 1,012.09 and 401.81 is: 554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.39 : 1,012.09 = 401.81 : x
  2. Step 2: Convert to fraction form
    733.39/1,012.09 = 401.81/x
  3. Step 3: Cross multiply
    733.39x = 1,012.09 × 401.81
  4. Step 4: Simplify right side
    733.39x = 406,661.82
  5. Step 5: Solve for x
    x = 406,661.82/733.39
  6. Step 6: Final answer
    x = 554.50

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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.