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Finding the Fourth Proportional to 1,321.67, 1,823.82 and 724.16

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Solution

The fourth proportional to 1,321.67, 1,823.82 and 724.16 is: 999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.67 : 1,823.82 = 724.16 : x
  2. Step 2: Convert to fraction form
    1,321.67/1,823.82 = 724.16/x
  3. Step 3: Cross multiply
    1,321.67x = 1,823.82 × 724.16
  4. Step 4: Simplify right side
    1,321.67x = 1,320,728.37
  5. Step 5: Solve for x
    x = 1,320,728.37/1,321.67
  6. Step 6: Final answer
    x = 999.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.