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Finding the Fourth Proportional to 1,433.47, 2,150.43 and 611.75

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Solution

The fourth proportional to 1,433.47, 2,150.43 and 611.75 is: 917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.47 : 2,150.43 = 611.75 : x
  2. Step 2: Convert to fraction form
    1,433.47/2,150.43 = 611.75/x
  3. Step 3: Cross multiply
    1,433.47x = 2,150.43 × 611.75
  4. Step 4: Simplify right side
    1,433.47x = 1,315,525.55
  5. Step 5: Solve for x
    x = 1,315,525.55/1,433.47
  6. Step 6: Final answer
    x = 917.72

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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.