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Finding the Fourth Proportional to 502.88, 694.53 and 496.05

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Solution

The fourth proportional to 502.88, 694.53 and 496.05 is: 685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.88 : 694.53 = 496.05 : x
  2. Step 2: Convert to fraction form
    502.88/694.53 = 496.05/x
  3. Step 3: Cross multiply
    502.88x = 694.53 × 496.05
  4. Step 4: Simplify right side
    502.88x = 344,521.61
  5. Step 5: Solve for x
    x = 344,521.61/502.88
  6. Step 6: Final answer
    x = 685.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.