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Finding the Fourth Proportional to 502.59, 696.50 and 492.87

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Solution

The fourth proportional to 502.59, 696.50 and 492.87 is: 683.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.59 : 696.50 = 492.87 : x
  2. Step 2: Convert to fraction form
    502.59/696.50 = 492.87/x
  3. Step 3: Cross multiply
    502.59x = 696.50 × 492.87
  4. Step 4: Simplify right side
    502.59x = 343,283.96
  5. Step 5: Solve for x
    x = 343,283.96/502.59
  6. Step 6: Final answer
    x = 683.03

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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.