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Finding the Fourth Proportional to 1,650.20, 2,475.30 and 495.96

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Solution

The fourth proportional to 1,650.20, 2,475.30 and 495.96 is: 743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.20 : 2,475.30 = 495.96 : x
  2. Step 2: Convert to fraction form
    1,650.20/2,475.30 = 495.96/x
  3. Step 3: Cross multiply
    1,650.20x = 2,475.30 × 495.96
  4. Step 4: Simplify right side
    1,650.20x = 1,227,649.79
  5. Step 5: Solve for x
    x = 1,227,649.79/1,650.20
  6. Step 6: Final answer
    x = 743.94

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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.