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Finding the Fourth Proportional to 459.67, 687.43 and 294.74

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Solution

The fourth proportional to 459.67, 687.43 and 294.74 is: 440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.67 : 687.43 = 294.74 : x
  2. Step 2: Convert to fraction form
    459.67/687.43 = 294.74/x
  3. Step 3: Cross multiply
    459.67x = 687.43 × 294.74
  4. Step 4: Simplify right side
    459.67x = 202,613.12
  5. Step 5: Solve for x
    x = 202,613.12/459.67
  6. Step 6: Final answer
    x = 440.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.