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Finding the Fourth Proportional to 1,202.30, 1,803.46 and 432.26

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Solution

The fourth proportional to 1,202.30, 1,803.46 and 432.26 is: 648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.30 : 1,803.46 = 432.26 : x
  2. Step 2: Convert to fraction form
    1,202.30/1,803.46 = 432.26/x
  3. Step 3: Cross multiply
    1,202.30x = 1,803.46 × 432.26
  4. Step 4: Simplify right side
    1,202.30x = 779,563.62
  5. Step 5: Solve for x
    x = 779,563.62/1,202.30
  6. Step 6: Final answer
    x = 648.39

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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.