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Finding the Fourth Proportional to 963, 1,443.42 and 551.22

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Solution

The fourth proportional to 963, 1,443.42 and 551.22 is: 826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    963 : 1,443.42 = 551.22 : x
  2. Step 2: Convert to fraction form
    963/1,443.42 = 551.22/x
  3. Step 3: Cross multiply
    963x = 1,443.42 × 551.22
  4. Step 4: Simplify right side
    963x = 795,641.97
  5. Step 5: Solve for x
    x = 795,641.97/963
  6. Step 6: Final answer
    x = 826.21

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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.