Home / 1,058.29-1,587.18-408.61

Finding the Fourth Proportional to 1,058.29, 1,587.18 and 408.61

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Solution

The fourth proportional to 1,058.29, 1,587.18 and 408.61 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.29 : 1,587.18 = 408.61 : x
  2. Step 2: Convert to fraction form
    1,058.29/1,587.18 = 408.61/x
  3. Step 3: Cross multiply
    1,058.29x = 1,587.18 × 408.61
  4. Step 4: Simplify right side
    1,058.29x = 648,537.62
  5. Step 5: Solve for x
    x = 648,537.62/1,058.29
  6. Step 6: Final answer
    x = 612.82

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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.