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Finding the Fourth Proportional to 457.96, 687.78 and 275.68

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Solution

The fourth proportional to 457.96, 687.78 and 275.68 is: 414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.96 : 687.78 = 275.68 : x
  2. Step 2: Convert to fraction form
    457.96/687.78 = 275.68/x
  3. Step 3: Cross multiply
    457.96x = 687.78 × 275.68
  4. Step 4: Simplify right side
    457.96x = 189,607.19
  5. Step 5: Solve for x
    x = 189,607.19/457.96
  6. Step 6: Final answer
    x = 414.03

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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.