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Finding the Fourth Proportional to 892.72, 1,341.72 and 739.62

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Solution

The fourth proportional to 892.72, 1,341.72 and 739.62 is: 1,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.72 : 1,341.72 = 739.62 : x
  2. Step 2: Convert to fraction form
    892.72/1,341.72 = 739.62/x
  3. Step 3: Cross multiply
    892.72x = 1,341.72 × 739.62
  4. Step 4: Simplify right side
    892.72x = 992,362.95
  5. Step 5: Solve for x
    x = 992,362.95/892.72
  6. Step 6: Final answer
    x = 1,111.62

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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.