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Finding the Fourth Proportional to 704.26, 970.97 and 577.76

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Solution

The fourth proportional to 704.26, 970.97 and 577.76 is: 796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.26 : 970.97 = 577.76 : x
  2. Step 2: Convert to fraction form
    704.26/970.97 = 577.76/x
  3. Step 3: Cross multiply
    704.26x = 970.97 × 577.76
  4. Step 4: Simplify right side
    704.26x = 560,987.63
  5. Step 5: Solve for x
    x = 560,987.63/704.26
  6. Step 6: Final answer
    x = 796.56

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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.