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Finding the Fourth Proportional to 1,744.91, 2,617.38 and 512.34

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Solution

The fourth proportional to 1,744.91, 2,617.38 and 512.34 is: 768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.91 : 2,617.38 = 512.34 : x
  2. Step 2: Convert to fraction form
    1,744.91/2,617.38 = 512.34/x
  3. Step 3: Cross multiply
    1,744.91x = 2,617.38 × 512.34
  4. Step 4: Simplify right side
    1,744.91x = 1,340,985.29
  5. Step 5: Solve for x
    x = 1,340,985.29/1,744.91
  6. Step 6: Final answer
    x = 768.51

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Double scale
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Similar ratio
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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.