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Finding the Fourth Proportional to 923.10, 1,385.26 and 681.32

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Solution

The fourth proportional to 923.10, 1,385.26 and 681.32 is: 1,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.10 : 1,385.26 = 681.32 : x
  2. Step 2: Convert to fraction form
    923.10/1,385.26 = 681.32/x
  3. Step 3: Cross multiply
    923.10x = 1,385.26 × 681.32
  4. Step 4: Simplify right side
    923.10x = 943,805.34
  5. Step 5: Solve for x
    x = 943,805.34/923.10
  6. Step 6: Final answer
    x = 1,022.43

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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.