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Finding the Fourth Proportional to 1,433.56, 2,148.66 and 611.62

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Solution

The fourth proportional to 1,433.56, 2,148.66 and 611.62 is: 916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.56 : 2,148.66 = 611.62 : x
  2. Step 2: Convert to fraction form
    1,433.56/2,148.66 = 611.62/x
  3. Step 3: Cross multiply
    1,433.56x = 2,148.66 × 611.62
  4. Step 4: Simplify right side
    1,433.56x = 1,314,163.43
  5. Step 5: Solve for x
    x = 1,314,163.43/1,433.56
  6. Step 6: Final answer
    x = 916.71

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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.