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Finding the Fourth Proportional to 733.26, 1,012.01 and 422.74

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Solution

The fourth proportional to 733.26, 1,012.01 and 422.74 is: 583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.26 : 1,012.01 = 422.74 : x
  2. Step 2: Convert to fraction form
    733.26/1,012.01 = 422.74/x
  3. Step 3: Cross multiply
    733.26x = 1,012.01 × 422.74
  4. Step 4: Simplify right side
    733.26x = 427,817.11
  5. Step 5: Solve for x
    x = 427,817.11/733.26
  6. Step 6: Final answer
    x = 583.45

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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.