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Finding the Fourth Proportional to 1,202.31, 1,801.85 and 432.27

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Solution

The fourth proportional to 1,202.31, 1,801.85 and 432.27 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.31 : 1,801.85 = 432.27 : x
  2. Step 2: Convert to fraction form
    1,202.31/1,801.85 = 432.27/x
  3. Step 3: Cross multiply
    1,202.31x = 1,801.85 × 432.27
  4. Step 4: Simplify right side
    1,202.31x = 778,883.54
  5. Step 5: Solve for x
    x = 778,883.54/1,202.31
  6. Step 6: Final answer
    x = 647.82

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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.