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Finding the Fourth Proportional to 502.63, 693.64 and 311.03

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Solution

The fourth proportional to 502.63, 693.64 and 311.03 is: 429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.63 : 693.64 = 311.03 : x
  2. Step 2: Convert to fraction form
    502.63/693.64 = 311.03/x
  3. Step 3: Cross multiply
    502.63x = 693.64 × 311.03
  4. Step 4: Simplify right side
    502.63x = 215,742.37
  5. Step 5: Solve for x
    x = 215,742.37/502.63
  6. Step 6: Final answer
    x = 429.23

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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.