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Finding the Fourth Proportional to 805.67, 1,209.19 and 459.35

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Solution

The fourth proportional to 805.67, 1,209.19 and 459.35 is: 689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.67 : 1,209.19 = 459.35 : x
  2. Step 2: Convert to fraction form
    805.67/1,209.19 = 459.35/x
  3. Step 3: Cross multiply
    805.67x = 1,209.19 × 459.35
  4. Step 4: Simplify right side
    805.67x = 555,441.43
  5. Step 5: Solve for x
    x = 555,441.43/805.67
  6. Step 6: Final answer
    x = 689.42

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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.