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Finding the Fourth Proportional to 708.95, 972.61 and 610.54

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Solution

The fourth proportional to 708.95, 972.61 and 610.54 is: 837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.95 : 972.61 = 610.54 : x
  2. Step 2: Convert to fraction form
    708.95/972.61 = 610.54/x
  3. Step 3: Cross multiply
    708.95x = 972.61 × 610.54
  4. Step 4: Simplify right side
    708.95x = 593,813.35
  5. Step 5: Solve for x
    x = 593,813.35/708.95
  6. Step 6: Final answer
    x = 837.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.