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Finding the Fourth Proportional to 1,093.68, 1,508.67 and 673.74

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Solution

The fourth proportional to 1,093.68, 1,508.67 and 673.74 is: 929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.68 : 1,508.67 = 673.74 : x
  2. Step 2: Convert to fraction form
    1,093.68/1,508.67 = 673.74/x
  3. Step 3: Cross multiply
    1,093.68x = 1,508.67 × 673.74
  4. Step 4: Simplify right side
    1,093.68x = 1,016,451.33
  5. Step 5: Solve for x
    x = 1,016,451.33/1,093.68
  6. Step 6: Final answer
    x = 929.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.