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Finding the Fourth Proportional to 502.48, 693.21 and 334.63

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Solution

The fourth proportional to 502.48, 693.21 and 334.63 is: 461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.48 : 693.21 = 334.63 : x
  2. Step 2: Convert to fraction form
    502.48/693.21 = 334.63/x
  3. Step 3: Cross multiply
    502.48x = 693.21 × 334.63
  4. Step 4: Simplify right side
    502.48x = 231,968.86
  5. Step 5: Solve for x
    x = 231,968.86/502.48
  6. Step 6: Final answer
    x = 461.65

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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.