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Finding the Fourth Proportional to 1,058.03, 1,587.24 and 408.81

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Solution

The fourth proportional to 1,058.03, 1,587.24 and 408.81 is: 613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.03 : 1,587.24 = 408.81 : x
  2. Step 2: Convert to fraction form
    1,058.03/1,587.24 = 408.81/x
  3. Step 3: Cross multiply
    1,058.03x = 1,587.24 × 408.81
  4. Step 4: Simplify right side
    1,058.03x = 648,879.58
  5. Step 5: Solve for x
    x = 648,879.58/1,058.03
  6. Step 6: Final answer
    x = 613.29

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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.