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Finding the Fourth Proportional to 1,097.97, 1,646.67 and 512.42

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Solution

The fourth proportional to 1,097.97, 1,646.67 and 512.42 is: 768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.97 : 1,646.67 = 512.42 : x
  2. Step 2: Convert to fraction form
    1,097.97/1,646.67 = 512.42/x
  3. Step 3: Cross multiply
    1,097.97x = 1,646.67 × 512.42
  4. Step 4: Simplify right side
    1,097.97x = 843,778.41
  5. Step 5: Solve for x
    x = 843,778.41/1,097.97
  6. Step 6: Final answer
    x = 768.49

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Double scale
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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.