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Finding the Fourth Proportional to 1,200.43, 1,798.48 and 1,005.22

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Solution

The fourth proportional to 1,200.43, 1,798.48 and 1,005.22 is: 1,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.43 : 1,798.48 = 1,005.22 : x
  2. Step 2: Convert to fraction form
    1,200.43/1,798.48 = 1,005.22/x
  3. Step 3: Cross multiply
    1,200.43x = 1,798.48 × 1,005.22
  4. Step 4: Simplify right side
    1,200.43x = 1,807,868.07
  5. Step 5: Solve for x
    x = 1,807,868.07/1,200.43
  6. Step 6: Final answer
    x = 1,506.02

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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.