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Finding the Fourth Proportional to 449.96, 671.26 and 429.32

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Solution

The fourth proportional to 449.96, 671.26 and 429.32 is: 640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.96 : 671.26 = 429.32 : x
  2. Step 2: Convert to fraction form
    449.96/671.26 = 429.32/x
  3. Step 3: Cross multiply
    449.96x = 671.26 × 429.32
  4. Step 4: Simplify right side
    449.96x = 288,185.34
  5. Step 5: Solve for x
    x = 288,185.34/449.96
  6. Step 6: Final answer
    x = 640.47

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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.