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Finding the Fourth Proportional to 980.87, 1,353.38 and 588.02

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Solution

The fourth proportional to 980.87, 1,353.38 and 588.02 is: 811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.87 : 1,353.38 = 588.02 : x
  2. Step 2: Convert to fraction form
    980.87/1,353.38 = 588.02/x
  3. Step 3: Cross multiply
    980.87x = 1,353.38 × 588.02
  4. Step 4: Simplify right side
    980.87x = 795,804.80
  5. Step 5: Solve for x
    x = 795,804.80/980.87
  6. Step 6: Final answer
    x = 811.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.