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Finding the Fourth Proportional to 1,733.08, 2,600.65 and 638.22

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Solution

The fourth proportional to 1,733.08, 2,600.65 and 638.22 is: 957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.08 : 2,600.65 = 638.22 : x
  2. Step 2: Convert to fraction form
    1,733.08/2,600.65 = 638.22/x
  3. Step 3: Cross multiply
    1,733.08x = 2,600.65 × 638.22
  4. Step 4: Simplify right side
    1,733.08x = 1,659,770.65
  5. Step 5: Solve for x
    x = 1,659,770.65/1,733.08
  6. Step 6: Final answer
    x = 957.70

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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.