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Finding the Fourth Proportional to 991.48, 1,486.04 and 747.20

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Solution

The fourth proportional to 991.48, 1,486.04 and 747.20 is: 1,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.48 : 1,486.04 = 747.20 : x
  2. Step 2: Convert to fraction form
    991.48/1,486.04 = 747.20/x
  3. Step 3: Cross multiply
    991.48x = 1,486.04 × 747.20
  4. Step 4: Simplify right side
    991.48x = 1,110,369.09
  5. Step 5: Solve for x
    x = 1,110,369.09/991.48
  6. Step 6: Final answer
    x = 1,119.91

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