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Finding the Fourth Proportional to 1,058.29, 1,587.62 and 327.85

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Solution

The fourth proportional to 1,058.29, 1,587.62 and 327.85 is: 491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.29 : 1,587.62 = 327.85 : x
  2. Step 2: Convert to fraction form
    1,058.29/1,587.62 = 327.85/x
  3. Step 3: Cross multiply
    1,058.29x = 1,587.62 × 327.85
  4. Step 4: Simplify right side
    1,058.29x = 520,501.22
  5. Step 5: Solve for x
    x = 520,501.22/1,058.29
  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.