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Finding the Fourth Proportional to 449.88, 670.89 and 425.40

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Solution

The fourth proportional to 449.88, 670.89 and 425.40 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.88 : 670.89 = 425.40 : x
  2. Step 2: Convert to fraction form
    449.88/670.89 = 425.40/x
  3. Step 3: Cross multiply
    449.88x = 670.89 × 425.40
  4. Step 4: Simplify right side
    449.88x = 285,396.61
  5. Step 5: Solve for x
    x = 285,396.61/449.88
  6. Step 6: Final answer
    x = 634.38

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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.