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Finding the Fourth Proportional to 1,058.45, 1,587.65 and 327.94

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Solution

The fourth proportional to 1,058.45, 1,587.65 and 327.94 is: 491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.45 : 1,587.65 = 327.94 : x
  2. Step 2: Convert to fraction form
    1,058.45/1,587.65 = 327.94/x
  3. Step 3: Cross multiply
    1,058.45x = 1,587.65 × 327.94
  4. Step 4: Simplify right side
    1,058.45x = 520,646.00
  5. Step 5: Solve for x
    x = 520,646.00/1,058.45
  6. Step 6: Final answer
    x = 491.90

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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.