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Finding the Fourth Proportional to 873.23, 1,203.37 and 724.07

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Solution

The fourth proportional to 873.23, 1,203.37 and 724.07 is: 997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.23 : 1,203.37 = 724.07 : x
  2. Step 2: Convert to fraction form
    873.23/1,203.37 = 724.07/x
  3. Step 3: Cross multiply
    873.23x = 1,203.37 × 724.07
  4. Step 4: Simplify right side
    873.23x = 871,325.31
  5. Step 5: Solve for x
    x = 871,325.31/873.23
  6. Step 6: Final answer
    x = 997.82

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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.