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Finding the Fourth Proportional to 971.97, 1,457 and 538.21

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Solution

The fourth proportional to 971.97, 1,457 and 538.21 is: 806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.97 : 1,457 = 538.21 : x
  2. Step 2: Convert to fraction form
    971.97/1,457 = 538.21/x
  3. Step 3: Cross multiply
    971.97x = 1,457 × 538.21
  4. Step 4: Simplify right side
    971.97x = 784,171.97
  5. Step 5: Solve for x
    x = 784,171.97/971.97
  6. Step 6: Final answer
    x = 806.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.