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Finding the Fourth Proportional to 1,058.48, 1,587.15 and 327.86

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Solution

The fourth proportional to 1,058.48, 1,587.15 and 327.86 is: 491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.48 : 1,587.15 = 327.86 : x
  2. Step 2: Convert to fraction form
    1,058.48/1,587.15 = 327.86/x
  3. Step 3: Cross multiply
    1,058.48x = 1,587.15 × 327.86
  4. Step 4: Simplify right side
    1,058.48x = 520,355.06
  5. Step 5: Solve for x
    x = 520,355.06/1,058.48
  6. Step 6: Final answer
    x = 491.61

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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.