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Finding the Fourth Proportional to 1,599.70, 2,400 and 504.22

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Solution

The fourth proportional to 1,599.70, 2,400 and 504.22 is: 756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.70 : 2,400 = 504.22 : x
  2. Step 2: Convert to fraction form
    1,599.70/2,400 = 504.22/x
  3. Step 3: Cross multiply
    1,599.70x = 2,400 × 504.22
  4. Step 4: Simplify right side
    1,599.70x = 1,210,128
  5. Step 5: Solve for x
    x = 1,210,128/1,599.70
  6. Step 6: Final answer
    x = 756.47

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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.