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Finding the Fourth Proportional to 502.42, 693.75 and 344.99

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Solution

The fourth proportional to 502.42, 693.75 and 344.99 is: 476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.42 : 693.75 = 344.99 : x
  2. Step 2: Convert to fraction form
    502.42/693.75 = 344.99/x
  3. Step 3: Cross multiply
    502.42x = 693.75 × 344.99
  4. Step 4: Simplify right side
    502.42x = 239,331.62
  5. Step 5: Solve for x
    x = 239,331.62/502.42
  6. Step 6: Final answer
    x = 476.36

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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.