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Finding the Fourth Proportional to 990.34, 1,365.81 and 742.21

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Solution

The fourth proportional to 990.34, 1,365.81 and 742.21 is: 1,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.34 : 1,365.81 = 742.21 : x
  2. Step 2: Convert to fraction form
    990.34/1,365.81 = 742.21/x
  3. Step 3: Cross multiply
    990.34x = 1,365.81 × 742.21
  4. Step 4: Simplify right side
    990.34x = 1,013,717.84
  5. Step 5: Solve for x
    x = 1,013,717.84/990.34
  6. Step 6: Final answer
    x = 1,023.61

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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.