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Finding the Fourth Proportional to 449.90, 671.60 and 431.67

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Solution

The fourth proportional to 449.90, 671.60 and 431.67 is: 644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.90 : 671.60 = 431.67 : x
  2. Step 2: Convert to fraction form
    449.90/671.60 = 431.67/x
  3. Step 3: Cross multiply
    449.90x = 671.60 × 431.67
  4. Step 4: Simplify right side
    449.90x = 289,907.41
  5. Step 5: Solve for x
    x = 289,907.41/449.90
  6. Step 6: Final answer
    x = 644.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.