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Finding the Fourth Proportional to 991.32, 1,486.96 and 661.95

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Solution

The fourth proportional to 991.32, 1,486.96 and 661.95 is: 992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.32 : 1,486.96 = 661.95 : x
  2. Step 2: Convert to fraction form
    991.32/1,486.96 = 661.95/x
  3. Step 3: Cross multiply
    991.32x = 1,486.96 × 661.95
  4. Step 4: Simplify right side
    991.32x = 984,293.17
  5. Step 5: Solve for x
    x = 984,293.17/991.32
  6. Step 6: Final answer
    x = 992.91

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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.