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Finding the Fourth Proportional to 1,599.80, 2,399.79 and 504.20

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Solution

The fourth proportional to 1,599.80, 2,399.79 and 504.20 is: 756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.80 : 2,399.79 = 504.20 : x
  2. Step 2: Convert to fraction form
    1,599.80/2,399.79 = 504.20/x
  3. Step 3: Cross multiply
    1,599.80x = 2,399.79 × 504.20
  4. Step 4: Simplify right side
    1,599.80x = 1,209,962.12
  5. Step 5: Solve for x
    x = 1,209,962.12/1,599.80
  6. Step 6: Final answer
    x = 756.32

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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.