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Finding the Fourth Proportional to 501.91, 693.06 and 344.49

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Solution

The fourth proportional to 501.91, 693.06 and 344.49 is: 475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.91 : 693.06 = 344.49 : x
  2. Step 2: Convert to fraction form
    501.91/693.06 = 344.49/x
  3. Step 3: Cross multiply
    501.91x = 693.06 × 344.49
  4. Step 4: Simplify right side
    501.91x = 238,748.35
  5. Step 5: Solve for x
    x = 238,748.35/501.91
  6. Step 6: Final answer
    x = 475.68

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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.