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Finding the Fourth Proportional to 1,093.16, 1,508.19 and 667.63

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Solution

The fourth proportional to 1,093.16, 1,508.19 and 667.63 is: 921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.16 : 1,508.19 = 667.63 : x
  2. Step 2: Convert to fraction form
    1,093.16/1,508.19 = 667.63/x
  3. Step 3: Cross multiply
    1,093.16x = 1,508.19 × 667.63
  4. Step 4: Simplify right side
    1,093.16x = 1,006,918.33
  5. Step 5: Solve for x
    x = 1,006,918.33/1,093.16
  6. Step 6: Final answer
    x = 921.11

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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.