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Finding the Fourth Proportional to 502.70, 693.56 and 355.41

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Solution

The fourth proportional to 502.70, 693.56 and 355.41 is: 490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.70 : 693.56 = 355.41 : x
  2. Step 2: Convert to fraction form
    502.70/693.56 = 355.41/x
  3. Step 3: Cross multiply
    502.70x = 693.56 × 355.41
  4. Step 4: Simplify right side
    502.70x = 246,496.38
  5. Step 5: Solve for x
    x = 246,496.38/502.70
  6. Step 6: Final answer
    x = 490.35

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1.5x scale

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.