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Finding the Fourth Proportional to 1,063.31, 1,467.34 and 814.23

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Solution

The fourth proportional to 1,063.31, 1,467.34 and 814.23 is: 1,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.31 : 1,467.34 = 814.23 : x
  2. Step 2: Convert to fraction form
    1,063.31/1,467.34 = 814.23/x
  3. Step 3: Cross multiply
    1,063.31x = 1,467.34 × 814.23
  4. Step 4: Simplify right side
    1,063.31x = 1,194,750.21
  5. Step 5: Solve for x
    x = 1,194,750.21/1,063.31
  6. Step 6: Final answer
    x = 1,123.62

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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.