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Finding the Fourth Proportional to 475.60, 628.04 and 475.60

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Solution

The fourth proportional to 475.60, 628.04 and 475.60 is: 628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.60 : 628.04 = 475.60 : x
  2. Step 2: Convert to fraction form
    475.60/628.04 = 475.60/x
  3. Step 3: Cross multiply
    475.60x = 628.04 × 475.60
  4. Step 4: Simplify right side
    475.60x = 298,695.82
  5. Step 5: Solve for x
    x = 298,695.82/475.60
  6. Step 6: Final answer
    x = 628.04

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.