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Finding the Fourth Proportional to 1,399.92, 2,100.44 and 534.48

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Solution

The fourth proportional to 1,399.92, 2,100.44 and 534.48 is: 801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.92 : 2,100.44 = 534.48 : x
  2. Step 2: Convert to fraction form
    1,399.92/2,100.44 = 534.48/x
  3. Step 3: Cross multiply
    1,399.92x = 2,100.44 × 534.48
  4. Step 4: Simplify right side
    1,399.92x = 1,122,643.17
  5. Step 5: Solve for x
    x = 1,122,643.17/1,399.92
  6. Step 6: Final answer
    x = 801.93

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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.