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Finding the Fourth Proportional to 1,601.40, 2,400.52 and 628.20

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Solution

The fourth proportional to 1,601.40, 2,400.52 and 628.20 is: 941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.40 : 2,400.52 = 628.20 : x
  2. Step 2: Convert to fraction form
    1,601.40/2,400.52 = 628.20/x
  3. Step 3: Cross multiply
    1,601.40x = 2,400.52 × 628.20
  4. Step 4: Simplify right side
    1,601.40x = 1,508,006.66
  5. Step 5: Solve for x
    x = 1,508,006.66/1,601.40
  6. Step 6: Final answer
    x = 941.68

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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.