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Finding the Fourth Proportional to 1,366.81, 2,049.81 and 501.19

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Solution

The fourth proportional to 1,366.81, 2,049.81 and 501.19 is: 751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.81 : 2,049.81 = 501.19 : x
  2. Step 2: Convert to fraction form
    1,366.81/2,049.81 = 501.19/x
  3. Step 3: Cross multiply
    1,366.81x = 2,049.81 × 501.19
  4. Step 4: Simplify right side
    1,366.81x = 1,027,344.27
  5. Step 5: Solve for x
    x = 1,027,344.27/1,366.81
  6. Step 6: Final answer
    x = 751.64

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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.