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Finding the Fourth Proportional to 962.09, 1,448.22 and 821.15

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Solution

The fourth proportional to 962.09, 1,448.22 and 821.15 is: 1,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.09 : 1,448.22 = 821.15 : x
  2. Step 2: Convert to fraction form
    962.09/1,448.22 = 821.15/x
  3. Step 3: Cross multiply
    962.09x = 1,448.22 × 821.15
  4. Step 4: Simplify right side
    962.09x = 1,189,207.12
  5. Step 5: Solve for x
    x = 1,189,207.12/962.09
  6. Step 6: Final answer
    x = 1,236.07

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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.