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Finding the Fourth Proportional to 1,057.91, 1,587.06 and 327.35

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Solution

The fourth proportional to 1,057.91, 1,587.06 and 327.35 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.91 : 1,587.06 = 327.35 : x
  2. Step 2: Convert to fraction form
    1,057.91/1,587.06 = 327.35/x
  3. Step 3: Cross multiply
    1,057.91x = 1,587.06 × 327.35
  4. Step 4: Simplify right side
    1,057.91x = 519,528.06
  5. Step 5: Solve for x
    x = 519,528.06/1,057.91
  6. Step 6: Final answer
    x = 491.09

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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.