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Finding the Fourth Proportional to 457.38, 684.90 and 335.57

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Solution

The fourth proportional to 457.38, 684.90 and 335.57 is: 502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.38 : 684.90 = 335.57 : x
  2. Step 2: Convert to fraction form
    457.38/684.90 = 335.57/x
  3. Step 3: Cross multiply
    457.38x = 684.90 × 335.57
  4. Step 4: Simplify right side
    457.38x = 229,828.47
  5. Step 5: Solve for x
    x = 229,828.47/457.38
  6. Step 6: Final answer
    x = 502.49

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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.