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Finding the Fourth Proportional to 922.63, 1,383.98 and 739.17

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Solution

The fourth proportional to 922.63, 1,383.98 and 739.17 is: 1,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.63 : 1,383.98 = 739.17 : x
  2. Step 2: Convert to fraction form
    922.63/1,383.98 = 739.17/x
  3. Step 3: Cross multiply
    922.63x = 1,383.98 × 739.17
  4. Step 4: Simplify right side
    922.63x = 1,022,996.50
  5. Step 5: Solve for x
    x = 1,022,996.50/922.63
  6. Step 6: Final answer
    x = 1,108.78

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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.