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Finding the Fourth Proportional to 1,073.28, 1,481.10 and 607.62

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Solution

The fourth proportional to 1,073.28, 1,481.10 and 607.62 is: 838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.28 : 1,481.10 = 607.62 : x
  2. Step 2: Convert to fraction form
    1,073.28/1,481.10 = 607.62/x
  3. Step 3: Cross multiply
    1,073.28x = 1,481.10 × 607.62
  4. Step 4: Simplify right side
    1,073.28x = 899,945.98
  5. Step 5: Solve for x
    x = 899,945.98/1,073.28
  6. Step 6: Final answer
    x = 838.50

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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.