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Finding the Fourth Proportional to 1,057.99, 1,586.99 and 327.55

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Solution

The fourth proportional to 1,057.99, 1,586.99 and 327.55 is: 491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.99 : 1,586.99 = 327.55 : x
  2. Step 2: Convert to fraction form
    1,057.99/1,586.99 = 327.55/x
  3. Step 3: Cross multiply
    1,057.99x = 1,586.99 × 327.55
  4. Step 4: Simplify right side
    1,057.99x = 519,818.57
  5. Step 5: Solve for x
    x = 519,818.57/1,057.99
  6. Step 6: Final answer
    x = 491.33

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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.