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Finding the Fourth Proportional to 457.79, 687.36 and 184.41

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Solution

The fourth proportional to 457.79, 687.36 and 184.41 is: 276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.79 : 687.36 = 184.41 : x
  2. Step 2: Convert to fraction form
    457.79/687.36 = 184.41/x
  3. Step 3: Cross multiply
    457.79x = 687.36 × 184.41
  4. Step 4: Simplify right side
    457.79x = 126,756.06
  5. Step 5: Solve for x
    x = 126,756.06/457.79
  6. Step 6: Final answer
    x = 276.89

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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.