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Finding the Fourth Proportional to 475.96, 657.04 and 371.34

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Solution

The fourth proportional to 475.96, 657.04 and 371.34 is: 512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.96 : 657.04 = 371.34 : x
  2. Step 2: Convert to fraction form
    475.96/657.04 = 371.34/x
  3. Step 3: Cross multiply
    475.96x = 657.04 × 371.34
  4. Step 4: Simplify right side
    475.96x = 243,985.23
  5. Step 5: Solve for x
    x = 243,985.23/475.96
  6. Step 6: Final answer
    x = 512.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.