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Finding the Fourth Proportional to 962.69, 1,449.02 and 821.75

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Solution

The fourth proportional to 962.69, 1,449.02 and 821.75 is: 1,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.69 : 1,449.02 = 821.75 : x
  2. Step 2: Convert to fraction form
    962.69/1,449.02 = 821.75/x
  3. Step 3: Cross multiply
    962.69x = 1,449.02 × 821.75
  4. Step 4: Simplify right side
    962.69x = 1,190,726.99
  5. Step 5: Solve for x
    x = 1,190,726.99/962.69
  6. Step 6: Final answer
    x = 1,236.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.