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Finding the Fourth Proportional to 1,399.08, 2,098.95 and 425.13

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Solution

The fourth proportional to 1,399.08, 2,098.95 and 425.13 is: 637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.08 : 2,098.95 = 425.13 : x
  2. Step 2: Convert to fraction form
    1,399.08/2,098.95 = 425.13/x
  3. Step 3: Cross multiply
    1,399.08x = 2,098.95 × 425.13
  4. Step 4: Simplify right side
    1,399.08x = 892,326.61
  5. Step 5: Solve for x
    x = 892,326.61/1,399.08
  6. Step 6: Final answer
    x = 637.80

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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.