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Finding the Fourth Proportional to 457.83, 687.12 and 321.15

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Solution

The fourth proportional to 457.83, 687.12 and 321.15 is: 481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.83 : 687.12 = 321.15 : x
  2. Step 2: Convert to fraction form
    457.83/687.12 = 321.15/x
  3. Step 3: Cross multiply
    457.83x = 687.12 × 321.15
  4. Step 4: Simplify right side
    457.83x = 220,668.59
  5. Step 5: Solve for x
    x = 220,668.59/457.83
  6. Step 6: Final answer
    x = 481.99

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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.