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Finding the Fourth Proportional to 733.38, 1,012.04 and 401.80

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Solution

The fourth proportional to 733.38, 1,012.04 and 401.80 is: 554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.38 : 1,012.04 = 401.80 : x
  2. Step 2: Convert to fraction form
    733.38/1,012.04 = 401.80/x
  3. Step 3: Cross multiply
    733.38x = 1,012.04 × 401.80
  4. Step 4: Simplify right side
    733.38x = 406,637.67
  5. Step 5: Solve for x
    x = 406,637.67/733.38
  6. Step 6: Final answer
    x = 554.47

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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.