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Finding the Fourth Proportional to 1,020.80, 1,521.40 and 998.84

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Solution

The fourth proportional to 1,020.80, 1,521.40 and 998.84 is: 1,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.80 : 1,521.40 = 998.84 : x
  2. Step 2: Convert to fraction form
    1,020.80/1,521.40 = 998.84/x
  3. Step 3: Cross multiply
    1,020.80x = 1,521.40 × 998.84
  4. Step 4: Simplify right side
    1,020.80x = 1,519,635.18
  5. Step 5: Solve for x
    x = 1,519,635.18/1,020.80
  6. Step 6: Final answer
    x = 1,488.67

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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.