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Finding the Fourth Proportional to 991.44, 1,486.49 and 661.91

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Solution

The fourth proportional to 991.44, 1,486.49 and 661.91 is: 992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.44 : 1,486.49 = 661.91 : x
  2. Step 2: Convert to fraction form
    991.44/1,486.49 = 661.91/x
  3. Step 3: Cross multiply
    991.44x = 1,486.49 × 661.91
  4. Step 4: Simplify right side
    991.44x = 983,911.85
  5. Step 5: Solve for x
    x = 983,911.85/991.44
  6. Step 6: Final answer
    x = 992.41

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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.