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Finding the Fourth Proportional to 991.44, 1,486.86 and 298.13

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Solution

The fourth proportional to 991.44, 1,486.86 and 298.13 is: 447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.44 : 1,486.86 = 298.13 : x
  2. Step 2: Convert to fraction form
    991.44/1,486.86 = 298.13/x
  3. Step 3: Cross multiply
    991.44x = 1,486.86 × 298.13
  4. Step 4: Simplify right side
    991.44x = 443,277.38
  5. Step 5: Solve for x
    x = 443,277.38/991.44
  6. Step 6: Final answer
    x = 447.10

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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.