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Finding the Fourth Proportional to 1,650.53, 2,475.15 and 480.14

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Solution

The fourth proportional to 1,650.53, 2,475.15 and 480.14 is: 720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.53 : 2,475.15 = 480.14 : x
  2. Step 2: Convert to fraction form
    1,650.53/2,475.15 = 480.14/x
  3. Step 3: Cross multiply
    1,650.53x = 2,475.15 × 480.14
  4. Step 4: Simplify right side
    1,650.53x = 1,188,406.15
  5. Step 5: Solve for x
    x = 1,188,406.15/1,650.53
  6. Step 6: Final answer
    x = 720.02

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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.