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Finding the Fourth Proportional to 1,599.70, 2,398.20 and 625.54

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Solution

The fourth proportional to 1,599.70, 2,398.20 and 625.54 is: 937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.70 : 2,398.20 = 625.54 : x
  2. Step 2: Convert to fraction form
    1,599.70/2,398.20 = 625.54/x
  3. Step 3: Cross multiply
    1,599.70x = 2,398.20 × 625.54
  4. Step 4: Simplify right side
    1,599.70x = 1,500,170.03
  5. Step 5: Solve for x
    x = 1,500,170.03/1,599.70
  6. Step 6: Final answer
    x = 937.78

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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.