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Finding the Fourth Proportional to 982.80, 1,471.50 and 549.18

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Solution

The fourth proportional to 982.80, 1,471.50 and 549.18 is: 822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.80 : 1,471.50 = 549.18 : x
  2. Step 2: Convert to fraction form
    982.80/1,471.50 = 549.18/x
  3. Step 3: Cross multiply
    982.80x = 1,471.50 × 549.18
  4. Step 4: Simplify right side
    982.80x = 808,118.37
  5. Step 5: Solve for x
    x = 808,118.37/982.80
  6. Step 6: Final answer
    x = 822.26

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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.