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Finding the Fourth Proportional to 449.78, 670.15 and 426.24

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Solution

The fourth proportional to 449.78, 670.15 and 426.24 is: 635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.78 : 670.15 = 426.24 : x
  2. Step 2: Convert to fraction form
    449.78/670.15 = 426.24/x
  3. Step 3: Cross multiply
    449.78x = 670.15 × 426.24
  4. Step 4: Simplify right side
    449.78x = 285,642.19
  5. Step 5: Solve for x
    x = 285,642.19/449.78
  6. Step 6: Final answer
    x = 635.07

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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.