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Finding the Fourth Proportional to 1,011.56, 1,517.26 and 395.16

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Solution

The fourth proportional to 1,011.56, 1,517.26 and 395.16 is: 592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.56 : 1,517.26 = 395.16 : x
  2. Step 2: Convert to fraction form
    1,011.56/1,517.26 = 395.16/x
  3. Step 3: Cross multiply
    1,011.56x = 1,517.26 × 395.16
  4. Step 4: Simplify right side
    1,011.56x = 599,560.46
  5. Step 5: Solve for x
    x = 599,560.46/1,011.56
  6. Step 6: Final answer
    x = 592.71

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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.