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Finding the Fourth Proportional to 1,733.39, 2,600.30 and 638.52

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Solution

The fourth proportional to 1,733.39, 2,600.30 and 638.52 is: 957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.39 : 2,600.30 = 638.52 : x
  2. Step 2: Convert to fraction form
    1,733.39/2,600.30 = 638.52/x
  3. Step 3: Cross multiply
    1,733.39x = 2,600.30 × 638.52
  4. Step 4: Simplify right side
    1,733.39x = 1,660,335.40
  5. Step 5: Solve for x
    x = 1,660,335.40/1,733.39
  6. Step 6: Final answer
    x = 957.86

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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.