Home / 1,058.25-1,586.77-408.23

Finding the Fourth Proportional to 1,058.25, 1,586.77 and 408.23

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Solution

The fourth proportional to 1,058.25, 1,586.77 and 408.23 is: 612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.25 : 1,586.77 = 408.23 : x
  2. Step 2: Convert to fraction form
    1,058.25/1,586.77 = 408.23/x
  3. Step 3: Cross multiply
    1,058.25x = 1,586.77 × 408.23
  4. Step 4: Simplify right side
    1,058.25x = 647,767.12
  5. Step 5: Solve for x
    x = 647,767.12/1,058.25
  6. Step 6: Final answer
    x = 612.11

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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.