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Finding the Fourth Proportional to 988.80, 1,474.80 and 832.80

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Solution

The fourth proportional to 988.80, 1,474.80 and 832.80 is: 1,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.80 : 1,474.80 = 832.80 : x
  2. Step 2: Convert to fraction form
    988.80/1,474.80 = 832.80/x
  3. Step 3: Cross multiply
    988.80x = 1,474.80 × 832.80
  4. Step 4: Simplify right side
    988.80x = 1,228,213.44
  5. Step 5: Solve for x
    x = 1,228,213.44/988.80
  6. Step 6: Final answer
    x = 1,242.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.