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Finding the Fourth Proportional to 627.90, 942.33 and 432.50

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Solution

The fourth proportional to 627.90, 942.33 and 432.50 is: 649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.90 : 942.33 = 432.50 : x
  2. Step 2: Convert to fraction form
    627.90/942.33 = 432.50/x
  3. Step 3: Cross multiply
    627.90x = 942.33 × 432.50
  4. Step 4: Simplify right side
    627.90x = 407,553.01
  5. Step 5: Solve for x
    x = 407,553.01/627.90
  6. Step 6: Final answer
    x = 649.07

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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.