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Finding the Fourth Proportional to 1,400.18, 2,099.04 and 533.88

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Solution

The fourth proportional to 1,400.18, 2,099.04 and 533.88 is: 800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.18 : 2,099.04 = 533.88 : x
  2. Step 2: Convert to fraction form
    1,400.18/2,099.04 = 533.88/x
  3. Step 3: Cross multiply
    1,400.18x = 2,099.04 × 533.88
  4. Step 4: Simplify right side
    1,400.18x = 1,120,635.48
  5. Step 5: Solve for x
    x = 1,120,635.48/1,400.18
  6. Step 6: Final answer
    x = 800.35

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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.