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Finding the Fourth Proportional to 437.85, 657.03 and 334.83

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Solution

The fourth proportional to 437.85, 657.03 and 334.83 is: 502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.85 : 657.03 = 334.83 : x
  2. Step 2: Convert to fraction form
    437.85/657.03 = 334.83/x
  3. Step 3: Cross multiply
    437.85x = 657.03 × 334.83
  4. Step 4: Simplify right side
    437.85x = 219,993.35
  5. Step 5: Solve for x
    x = 219,993.35/437.85
  6. Step 6: Final answer
    x = 502.44

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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.