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Finding the Fourth Proportional to 806.10, 1,209.72 and 459.48

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Solution

The fourth proportional to 806.10, 1,209.72 and 459.48 is: 689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.10 : 1,209.72 = 459.48 : x
  2. Step 2: Convert to fraction form
    806.10/1,209.72 = 459.48/x
  3. Step 3: Cross multiply
    806.10x = 1,209.72 × 459.48
  4. Step 4: Simplify right side
    806.10x = 555,842.15
  5. Step 5: Solve for x
    x = 555,842.15/806.10
  6. Step 6: Final answer
    x = 689.54

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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.