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Finding the Fourth Proportional to 450.78, 624.91 and 426.14

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Solution

The fourth proportional to 450.78, 624.91 and 426.14 is: 590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.78 : 624.91 = 426.14 : x
  2. Step 2: Convert to fraction form
    450.78/624.91 = 426.14/x
  3. Step 3: Cross multiply
    450.78x = 624.91 × 426.14
  4. Step 4: Simplify right side
    450.78x = 266,299.15
  5. Step 5: Solve for x
    x = 266,299.15/450.78
  6. Step 6: Final answer
    x = 590.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.