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Finding the Fourth Proportional to 475.40, 666.10 and 475.40

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Solution

The fourth proportional to 475.40, 666.10 and 475.40 is: 666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.40 : 666.10 = 475.40 : x
  2. Step 2: Convert to fraction form
    475.40/666.10 = 475.40/x
  3. Step 3: Cross multiply
    475.40x = 666.10 × 475.40
  4. Step 4: Simplify right side
    475.40x = 316,663.94
  5. Step 5: Solve for x
    x = 316,663.94/475.40
  6. Step 6: Final answer
    x = 666.10

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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.