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Finding the Fourth Proportional to 1,738.70, 2,608.44 and 643.10

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Solution

The fourth proportional to 1,738.70, 2,608.44 and 643.10 is: 964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.70 : 2,608.44 = 643.10 : x
  2. Step 2: Convert to fraction form
    1,738.70/2,608.44 = 643.10/x
  3. Step 3: Cross multiply
    1,738.70x = 2,608.44 × 643.10
  4. Step 4: Simplify right side
    1,738.70x = 1,677,487.76
  5. Step 5: Solve for x
    x = 1,677,487.76/1,738.70
  6. Step 6: Final answer
    x = 964.79

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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.