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Finding the Fourth Proportional to 1,650.48, 2,476.10 and 480.50

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Solution

The fourth proportional to 1,650.48, 2,476.10 and 480.50 is: 720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.48 : 2,476.10 = 480.50 : x
  2. Step 2: Convert to fraction form
    1,650.48/2,476.10 = 480.50/x
  3. Step 3: Cross multiply
    1,650.48x = 2,476.10 × 480.50
  4. Step 4: Simplify right side
    1,650.48x = 1,189,751.27
  5. Step 5: Solve for x
    x = 1,189,751.27/1,650.48
  6. Step 6: Final answer
    x = 720.85

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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.