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Finding the Fourth Proportional to 444.90, 667.32 and 431.53

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Solution

The fourth proportional to 444.90, 667.32 and 431.53 is: 647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.90 : 667.32 = 431.53 : x
  2. Step 2: Convert to fraction form
    444.90/667.32 = 431.53/x
  3. Step 3: Cross multiply
    444.90x = 667.32 × 431.53
  4. Step 4: Simplify right side
    444.90x = 287,968.60
  5. Step 5: Solve for x
    x = 287,968.60/444.90
  6. Step 6: Final answer
    x = 647.27

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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.