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Finding the Fourth Proportional to 991.96, 1,486.02 and 763.48

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Solution

The fourth proportional to 991.96, 1,486.02 and 763.48 is: 1,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.96 : 1,486.02 = 763.48 : x
  2. Step 2: Convert to fraction form
    991.96/1,486.02 = 763.48/x
  3. Step 3: Cross multiply
    991.96x = 1,486.02 × 763.48
  4. Step 4: Simplify right side
    991.96x = 1,134,546.55
  5. Step 5: Solve for x
    x = 1,134,546.55/991.96
  6. Step 6: Final answer
    x = 1,143.74

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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.