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Finding the Fourth Proportional to 805.40, 1,206.94 and 641.08

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Solution

The fourth proportional to 805.40, 1,206.94 and 641.08 is: 960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.40 : 1,206.94 = 641.08 : x
  2. Step 2: Convert to fraction form
    805.40/1,206.94 = 641.08/x
  3. Step 3: Cross multiply
    805.40x = 1,206.94 × 641.08
  4. Step 4: Simplify right side
    805.40x = 773,745.10
  5. Step 5: Solve for x
    x = 773,745.10/805.40
  6. Step 6: Final answer
    x = 960.70

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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.