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Finding the Fourth Proportional to 1,012.82, 1,398.29 and 664.11

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Solution

The fourth proportional to 1,012.82, 1,398.29 and 664.11 is: 916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.82 : 1,398.29 = 664.11 : x
  2. Step 2: Convert to fraction form
    1,012.82/1,398.29 = 664.11/x
  3. Step 3: Cross multiply
    1,012.82x = 1,398.29 × 664.11
  4. Step 4: Simplify right side
    1,012.82x = 928,618.37
  5. Step 5: Solve for x
    x = 928,618.37/1,012.82
  6. Step 6: Final answer
    x = 916.87

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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.