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Finding the Fourth Proportional to 449.84, 671.34 and 438.32

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Solution

The fourth proportional to 449.84, 671.34 and 438.32 is: 654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.84 : 671.34 = 438.32 : x
  2. Step 2: Convert to fraction form
    449.84/671.34 = 438.32/x
  3. Step 3: Cross multiply
    449.84x = 671.34 × 438.32
  4. Step 4: Simplify right side
    449.84x = 294,261.75
  5. Step 5: Solve for x
    x = 294,261.75/449.84
  6. Step 6: Final answer
    x = 654.15

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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.