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Finding the Fourth Proportional to 1,399.36, 2,099.88 and 534.40

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Solution

The fourth proportional to 1,399.36, 2,099.88 and 534.40 is: 801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.36 : 2,099.88 = 534.40 : x
  2. Step 2: Convert to fraction form
    1,399.36/2,099.88 = 534.40/x
  3. Step 3: Cross multiply
    1,399.36x = 2,099.88 × 534.40
  4. Step 4: Simplify right side
    1,399.36x = 1,122,175.87
  5. Step 5: Solve for x
    x = 1,122,175.87/1,399.36
  6. Step 6: Final answer
    x = 801.92

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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.