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Finding the Fourth Proportional to 475.36, 657.36 and 451.84

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Solution

The fourth proportional to 475.36, 657.36 and 451.84 is: 624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.36 : 657.36 = 451.84 : x
  2. Step 2: Convert to fraction form
    475.36/657.36 = 451.84/x
  3. Step 3: Cross multiply
    475.36x = 657.36 × 451.84
  4. Step 4: Simplify right side
    475.36x = 297,021.54
  5. Step 5: Solve for x
    x = 297,021.54/475.36
  6. Step 6: Final answer
    x = 624.83

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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.