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Finding the Fourth Proportional to 704.59, 971.79 and 538.39

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Solution

The fourth proportional to 704.59, 971.79 and 538.39 is: 742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.59 : 971.79 = 538.39 : x
  2. Step 2: Convert to fraction form
    704.59/971.79 = 538.39/x
  3. Step 3: Cross multiply
    704.59x = 971.79 × 538.39
  4. Step 4: Simplify right side
    704.59x = 523,202.02
  5. Step 5: Solve for x
    x = 523,202.02/704.59
  6. Step 6: Final answer
    x = 742.56

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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.