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Finding the Fourth Proportional to 898.44, 1,353.78 and 739.68

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Solution

The fourth proportional to 898.44, 1,353.78 and 739.68 is: 1,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.44 : 1,353.78 = 739.68 : x
  2. Step 2: Convert to fraction form
    898.44/1,353.78 = 739.68/x
  3. Step 3: Cross multiply
    898.44x = 1,353.78 × 739.68
  4. Step 4: Simplify right side
    898.44x = 1,001,363.99
  5. Step 5: Solve for x
    x = 1,001,363.99/898.44
  6. Step 6: Final answer
    x = 1,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.