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Finding the Fourth Proportional to 456.05, 687.41 and 375.86

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Solution

The fourth proportional to 456.05, 687.41 and 375.86 is: 566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.05 : 687.41 = 375.86 : x
  2. Step 2: Convert to fraction form
    456.05/687.41 = 375.86/x
  3. Step 3: Cross multiply
    456.05x = 687.41 × 375.86
  4. Step 4: Simplify right side
    456.05x = 258,369.92
  5. Step 5: Solve for x
    x = 258,369.92/456.05
  6. Step 6: Final answer
    x = 566.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.