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Finding the Fourth Proportional to 1,433.43, 2,149.54 and 509.22

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Solution

The fourth proportional to 1,433.43, 2,149.54 and 509.22 is: 763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.43 : 2,149.54 = 509.22 : x
  2. Step 2: Convert to fraction form
    1,433.43/2,149.54 = 509.22/x
  3. Step 3: Cross multiply
    1,433.43x = 2,149.54 × 509.22
  4. Step 4: Simplify right side
    1,433.43x = 1,094,587.49
  5. Step 5: Solve for x
    x = 1,094,587.49/1,433.43
  6. Step 6: Final answer
    x = 763.61

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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.