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Finding the Fourth Proportional to 991.28, 1,482.58 and 809.84

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Solution

The fourth proportional to 991.28, 1,482.58 and 809.84 is: 1,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.28 : 1,482.58 = 809.84 : x
  2. Step 2: Convert to fraction form
    991.28/1,482.58 = 809.84/x
  3. Step 3: Cross multiply
    991.28x = 1,482.58 × 809.84
  4. Step 4: Simplify right side
    991.28x = 1,200,652.59
  5. Step 5: Solve for x
    x = 1,200,652.59/991.28
  6. Step 6: Final answer
    x = 1,211.21

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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.