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Finding the Fourth Proportional to 475.62, 712.53 and 427.92

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Solution

The fourth proportional to 475.62, 712.53 and 427.92 is: 641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.62 : 712.53 = 427.92 : x
  2. Step 2: Convert to fraction form
    475.62/712.53 = 427.92/x
  3. Step 3: Cross multiply
    475.62x = 712.53 × 427.92
  4. Step 4: Simplify right side
    475.62x = 304,905.84
  5. Step 5: Solve for x
    x = 304,905.84/475.62
  6. Step 6: Final answer
    x = 641.07

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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.