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Finding the Fourth Proportional to 991.29, 1,483.36 and 742.97

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Solution

The fourth proportional to 991.29, 1,483.36 and 742.97 is: 1,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.29 : 1,483.36 = 742.97 : x
  2. Step 2: Convert to fraction form
    991.29/1,483.36 = 742.97/x
  3. Step 3: Cross multiply
    991.29x = 1,483.36 × 742.97
  4. Step 4: Simplify right side
    991.29x = 1,102,098.01
  5. Step 5: Solve for x
    x = 1,102,098.01/991.29
  6. Step 6: Final answer
    x = 1,111.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.