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Finding the Fourth Proportional to 733.12, 1,011.50 and 438.46

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Solution

The fourth proportional to 733.12, 1,011.50 and 438.46 is: 604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.12 : 1,011.50 = 438.46 : x
  2. Step 2: Convert to fraction form
    733.12/1,011.50 = 438.46/x
  3. Step 3: Cross multiply
    733.12x = 1,011.50 × 438.46
  4. Step 4: Simplify right side
    733.12x = 443,502.29
  5. Step 5: Solve for x
    x = 443,502.29/733.12
  6. Step 6: Final answer
    x = 604.95

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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.