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Finding the Fourth Proportional to 502.10, 693.41 and 415.38

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Solution

The fourth proportional to 502.10, 693.41 and 415.38 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 693.41 = 415.38 : x
  2. Step 2: Convert to fraction form
    502.10/693.41 = 415.38/x
  3. Step 3: Cross multiply
    502.10x = 693.41 × 415.38
  4. Step 4: Simplify right side
    502.10x = 288,028.65
  5. Step 5: Solve for x
    x = 288,028.65/502.10
  6. Step 6: Final answer
    x = 573.65

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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.