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Finding the Fourth Proportional to 1,600, 2,399.82 and 504.16

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Solution

The fourth proportional to 1,600, 2,399.82 and 504.16 is: 756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600 : 2,399.82 = 504.16 : x
  2. Step 2: Convert to fraction form
    1,600/2,399.82 = 504.16/x
  3. Step 3: Cross multiply
    1,600x = 2,399.82 × 504.16
  4. Step 4: Simplify right side
    1,600x = 1,209,893.25
  5. Step 5: Solve for x
    x = 1,209,893.25/1,600
  6. Step 6: Final answer
    x = 756.18

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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.