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Finding the Fourth Proportional to 990.24, 1,365.29 and 724.47

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Solution

The fourth proportional to 990.24, 1,365.29 and 724.47 is: 998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.24 : 1,365.29 = 724.47 : x
  2. Step 2: Convert to fraction form
    990.24/1,365.29 = 724.47/x
  3. Step 3: Cross multiply
    990.24x = 1,365.29 × 724.47
  4. Step 4: Simplify right side
    990.24x = 989,113.46
  5. Step 5: Solve for x
    x = 989,113.46/990.24
  6. Step 6: Final answer
    x = 998.86

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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.