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Finding the Fourth Proportional to 501.97, 693.05 and 305.81

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Solution

The fourth proportional to 501.97, 693.05 and 305.81 is: 422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.97 : 693.05 = 305.81 : x
  2. Step 2: Convert to fraction form
    501.97/693.05 = 305.81/x
  3. Step 3: Cross multiply
    501.97x = 693.05 × 305.81
  4. Step 4: Simplify right side
    501.97x = 211,943.98
  5. Step 5: Solve for x
    x = 211,943.98/501.97
  6. Step 6: Final answer
    x = 422.22

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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.