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Finding the Fourth Proportional to 733.25, 1,011.89 and 422.93

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Solution

The fourth proportional to 733.25, 1,011.89 and 422.93 is: 583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.25 : 1,011.89 = 422.93 : x
  2. Step 2: Convert to fraction form
    733.25/1,011.89 = 422.93/x
  3. Step 3: Cross multiply
    733.25x = 1,011.89 × 422.93
  4. Step 4: Simplify right side
    733.25x = 427,958.64
  5. Step 5: Solve for x
    x = 427,958.64/733.25
  6. Step 6: Final answer
    x = 583.65

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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.