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Finding the Fourth Proportional to 733.12, 1,099.92 and 459.40

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Solution

The fourth proportional to 733.12, 1,099.92 and 459.40 is: 689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.12 : 1,099.92 = 459.40 : x
  2. Step 2: Convert to fraction form
    733.12/1,099.92 = 459.40/x
  3. Step 3: Cross multiply
    733.12x = 1,099.92 × 459.40
  4. Step 4: Simplify right side
    733.12x = 505,303.25
  5. Step 5: Solve for x
    x = 505,303.25/733.12
  6. Step 6: Final answer
    x = 689.25

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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.