Home / 1,024.16-1,535.31-408.23

Finding the Fourth Proportional to 1,024.16, 1,535.31 and 408.23

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Solution

The fourth proportional to 1,024.16, 1,535.31 and 408.23 is: 611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.16 : 1,535.31 = 408.23 : x
  2. Step 2: Convert to fraction form
    1,024.16/1,535.31 = 408.23/x
  3. Step 3: Cross multiply
    1,024.16x = 1,535.31 × 408.23
  4. Step 4: Simplify right side
    1,024.16x = 626,751.92
  5. Step 5: Solve for x
    x = 626,751.92/1,024.16
  6. Step 6: Final answer
    x = 611.97

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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.