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Finding the Fourth Proportional to 502.16, 687.97 and 482.72

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Solution

The fourth proportional to 502.16, 687.97 and 482.72 is: 661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 687.97 = 482.72 : x
  2. Step 2: Convert to fraction form
    502.16/687.97 = 482.72/x
  3. Step 3: Cross multiply
    502.16x = 687.97 × 482.72
  4. Step 4: Simplify right side
    502.16x = 332,096.88
  5. Step 5: Solve for x
    x = 332,096.88/502.16
  6. Step 6: Final answer
    x = 661.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.