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Finding the Fourth Proportional to 475.16, 711.74 and 420.50

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Solution

The fourth proportional to 475.16, 711.74 and 420.50 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.16 : 711.74 = 420.50 : x
  2. Step 2: Convert to fraction form
    475.16/711.74 = 420.50/x
  3. Step 3: Cross multiply
    475.16x = 711.74 × 420.50
  4. Step 4: Simplify right side
    475.16x = 299,286.67
  5. Step 5: Solve for x
    x = 299,286.67/475.16
  6. Step 6: Final answer
    x = 629.87

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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.