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Finding the Fourth Proportional to 1,600.45, 2,400.90 and 504.90

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Solution

The fourth proportional to 1,600.45, 2,400.90 and 504.90 is: 757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.45 : 2,400.90 = 504.90 : x
  2. Step 2: Convert to fraction form
    1,600.45/2,400.90 = 504.90/x
  3. Step 3: Cross multiply
    1,600.45x = 2,400.90 × 504.90
  4. Step 4: Simplify right side
    1,600.45x = 1,212,214.41
  5. Step 5: Solve for x
    x = 1,212,214.41/1,600.45
  6. Step 6: Final answer
    x = 757.42

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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.