Home / 1,058.19-1,587.60-327.82

Finding the Fourth Proportional to 1,058.19, 1,587.60 and 327.82

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Solution

The fourth proportional to 1,058.19, 1,587.60 and 327.82 is: 491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.19 : 1,587.60 = 327.82 : x
  2. Step 2: Convert to fraction form
    1,058.19/1,587.60 = 327.82/x
  3. Step 3: Cross multiply
    1,058.19x = 1,587.60 × 327.82
  4. Step 4: Simplify right side
    1,058.19x = 520,447.03
  5. Step 5: Solve for x
    x = 520,447.03/1,058.19
  6. Step 6: Final answer
    x = 491.83

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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.