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Finding the Fourth Proportional to 704.05, 972.87 and 610.49

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Solution

The fourth proportional to 704.05, 972.87 and 610.49 is: 843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.05 : 972.87 = 610.49 : x
  2. Step 2: Convert to fraction form
    704.05/972.87 = 610.49/x
  3. Step 3: Cross multiply
    704.05x = 972.87 × 610.49
  4. Step 4: Simplify right side
    704.05x = 593,927.41
  5. Step 5: Solve for x
    x = 593,927.41/704.05
  6. Step 6: Final answer
    x = 843.59

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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.