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Finding the Fourth Proportional to 1,200.42, 1,800.63 and 892.82

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Solution

The fourth proportional to 1,200.42, 1,800.63 and 892.82 is: 1,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.42 : 1,800.63 = 892.82 : x
  2. Step 2: Convert to fraction form
    1,200.42/1,800.63 = 892.82/x
  3. Step 3: Cross multiply
    1,200.42x = 1,800.63 × 892.82
  4. Step 4: Simplify right side
    1,200.42x = 1,607,642.98
  5. Step 5: Solve for x
    x = 1,607,642.98/1,200.42
  6. Step 6: Final answer
    x = 1,339.23

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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.