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Finding the Fourth Proportional to 844.19, 1,266.27 and 670.92

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Solution

The fourth proportional to 844.19, 1,266.27 and 670.92 is: 1,006.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.19 : 1,266.27 = 670.92 : x
  2. Step 2: Convert to fraction form
    844.19/1,266.27 = 670.92/x
  3. Step 3: Cross multiply
    844.19x = 1,266.27 × 670.92
  4. Step 4: Simplify right side
    844.19x = 849,565.87
  5. Step 5: Solve for x
    x = 849,565.87/844.19
  6. Step 6: Final answer
    x = 1,006.37

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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.