Home / 1,020.25-1,529.23-403.48

Finding the Fourth Proportional to 1,020.25, 1,529.23 and 403.48

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Solution

The fourth proportional to 1,020.25, 1,529.23 and 403.48 is: 604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.25 : 1,529.23 = 403.48 : x
  2. Step 2: Convert to fraction form
    1,020.25/1,529.23 = 403.48/x
  3. Step 3: Cross multiply
    1,020.25x = 1,529.23 × 403.48
  4. Step 4: Simplify right side
    1,020.25x = 617,015.38
  5. Step 5: Solve for x
    x = 617,015.38/1,020.25
  6. Step 6: Final answer
    x = 604.77

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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.