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Finding the Fourth Proportional to 457.78, 687.04 and 405.86

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Solution

The fourth proportional to 457.78, 687.04 and 405.86 is: 609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.78 : 687.04 = 405.86 : x
  2. Step 2: Convert to fraction form
    457.78/687.04 = 405.86/x
  3. Step 3: Cross multiply
    457.78x = 687.04 × 405.86
  4. Step 4: Simplify right side
    457.78x = 278,842.05
  5. Step 5: Solve for x
    x = 278,842.05/457.78
  6. Step 6: Final answer
    x = 609.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.