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Finding the Fourth Proportional to 805.57, 1,209.38 and 670.27

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Solution

The fourth proportional to 805.57, 1,209.38 and 670.27 is: 1,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.57 : 1,209.38 = 670.27 : x
  2. Step 2: Convert to fraction form
    805.57/1,209.38 = 670.27/x
  3. Step 3: Cross multiply
    805.57x = 1,209.38 × 670.27
  4. Step 4: Simplify right side
    805.57x = 810,607.78
  5. Step 5: Solve for x
    x = 810,607.78/805.57
  6. Step 6: Final answer
    x = 1,006.25

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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.