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Finding the Fourth Proportional to 1,058.25, 1,587.45 and 327.73

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Solution

The fourth proportional to 1,058.25, 1,587.45 and 327.73 is: 491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.25 : 1,587.45 = 327.73 : x
  2. Step 2: Convert to fraction form
    1,058.25/1,587.45 = 327.73/x
  3. Step 3: Cross multiply
    1,058.25x = 1,587.45 × 327.73
  4. Step 4: Simplify right side
    1,058.25x = 520,253.38
  5. Step 5: Solve for x
    x = 520,253.38/1,058.25
  6. Step 6: Final answer
    x = 491.62

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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.