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Finding the Fourth Proportional to 494.36, 678.60 and 437.86

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Solution

The fourth proportional to 494.36, 678.60 and 437.86 is: 601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.36 : 678.60 = 437.86 : x
  2. Step 2: Convert to fraction form
    494.36/678.60 = 437.86/x
  3. Step 3: Cross multiply
    494.36x = 678.60 × 437.86
  4. Step 4: Simplify right side
    494.36x = 297,131.80
  5. Step 5: Solve for x
    x = 297,131.80/494.36
  6. Step 6: Final answer
    x = 601.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.