Home / 1,020.48-1,528.40-997.42

Finding the Fourth Proportional to 1,020.48, 1,528.40 and 997.42

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Solution

The fourth proportional to 1,020.48, 1,528.40 and 997.42 is: 1,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.48 : 1,528.40 = 997.42 : x
  2. Step 2: Convert to fraction form
    1,020.48/1,528.40 = 997.42/x
  3. Step 3: Cross multiply
    1,020.48x = 1,528.40 × 997.42
  4. Step 4: Simplify right side
    1,020.48x = 1,524,447.92
  5. Step 5: Solve for x
    x = 1,524,447.92/1,020.48
  6. Step 6: Final answer
    x = 1,493.85

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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.