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Finding the Fourth Proportional to 475.70, 667.60 and 475.70

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Solution

The fourth proportional to 475.70, 667.60 and 475.70 is: 667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.70 : 667.60 = 475.70 : x
  2. Step 2: Convert to fraction form
    475.70/667.60 = 475.70/x
  3. Step 3: Cross multiply
    475.70x = 667.60 × 475.70
  4. Step 4: Simplify right side
    475.70x = 317,577.32
  5. Step 5: Solve for x
    x = 317,577.32/475.70
  6. Step 6: Final answer
    x = 667.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.