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Finding the Fourth Proportional to 1,433.80, 2,151.20 and 509.59

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Solution

The fourth proportional to 1,433.80, 2,151.20 and 509.59 is: 764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.80 : 2,151.20 = 509.59 : x
  2. Step 2: Convert to fraction form
    1,433.80/2,151.20 = 509.59/x
  3. Step 3: Cross multiply
    1,433.80x = 2,151.20 × 509.59
  4. Step 4: Simplify right side
    1,433.80x = 1,096,230.01
  5. Step 5: Solve for x
    x = 1,096,230.01/1,433.80
  6. Step 6: Final answer
    x = 764.56

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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.