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Finding the Fourth Proportional to 844.47, 1,264.86 and 821.43

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Solution

The fourth proportional to 844.47, 1,264.86 and 821.43 is: 1,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.47 : 1,264.86 = 821.43 : x
  2. Step 2: Convert to fraction form
    844.47/1,264.86 = 821.43/x
  3. Step 3: Cross multiply
    844.47x = 1,264.86 × 821.43
  4. Step 4: Simplify right side
    844.47x = 1,038,993.95
  5. Step 5: Solve for x
    x = 1,038,993.95/844.47
  6. Step 6: Final answer
    x = 1,230.35

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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.