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Finding the Fourth Proportional to 475.45, 656.19 and 454.68

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Solution

The fourth proportional to 475.45, 656.19 and 454.68 is: 627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.45 : 656.19 = 454.68 : x
  2. Step 2: Convert to fraction form
    475.45/656.19 = 454.68/x
  3. Step 3: Cross multiply
    475.45x = 656.19 × 454.68
  4. Step 4: Simplify right side
    475.45x = 298,356.47
  5. Step 5: Solve for x
    x = 298,356.47/475.45
  6. Step 6: Final answer
    x = 627.53

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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.