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Finding the Fourth Proportional to 502.10, 695.81 and 492.38

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Solution

The fourth proportional to 502.10, 695.81 and 492.38 is: 682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 695.81 = 492.38 : x
  2. Step 2: Convert to fraction form
    502.10/695.81 = 492.38/x
  3. Step 3: Cross multiply
    502.10x = 695.81 × 492.38
  4. Step 4: Simplify right side
    502.10x = 342,599.45
  5. Step 5: Solve for x
    x = 342,599.45/502.10
  6. Step 6: Final answer
    x = 682.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.