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Finding the Fourth Proportional to 1,399.48, 2,098.92 and 425.56

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Solution

The fourth proportional to 1,399.48, 2,098.92 and 425.56 is: 638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.48 : 2,098.92 = 425.56 : x
  2. Step 2: Convert to fraction form
    1,399.48/2,098.92 = 425.56/x
  3. Step 3: Cross multiply
    1,399.48x = 2,098.92 × 425.56
  4. Step 4: Simplify right side
    1,399.48x = 893,216.40
  5. Step 5: Solve for x
    x = 893,216.40/1,399.48
  6. Step 6: Final answer
    x = 638.25

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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.