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Finding the Fourth Proportional to 1,734.69, 2,602.26 and 638.85

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Solution

The fourth proportional to 1,734.69, 2,602.26 and 638.85 is: 958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.69 : 2,602.26 = 638.85 : x
  2. Step 2: Convert to fraction form
    1,734.69/2,602.26 = 638.85/x
  3. Step 3: Cross multiply
    1,734.69x = 2,602.26 × 638.85
  4. Step 4: Simplify right side
    1,734.69x = 1,662,453.80
  5. Step 5: Solve for x
    x = 1,662,453.80/1,734.69
  6. Step 6: Final answer
    x = 958.36

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1.5x scale

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.