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Finding the Fourth Proportional to 733.56, 1,100.69 and 459.88

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Solution

The fourth proportional to 733.56, 1,100.69 and 459.88 is: 690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.56 : 1,100.69 = 459.88 : x
  2. Step 2: Convert to fraction form
    733.56/1,100.69 = 459.88/x
  3. Step 3: Cross multiply
    733.56x = 1,100.69 × 459.88
  4. Step 4: Simplify right side
    733.56x = 506,181.99
  5. Step 5: Solve for x
    x = 506,181.99/733.56
  6. Step 6: Final answer
    x = 690.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.