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Finding the Fourth Proportional to 708.57, 975.34 and 614.94

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Solution

The fourth proportional to 708.57, 975.34 and 614.94 is: 846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.57 : 975.34 = 614.94 : x
  2. Step 2: Convert to fraction form
    708.57/975.34 = 614.94/x
  3. Step 3: Cross multiply
    708.57x = 975.34 × 614.94
  4. Step 4: Simplify right side
    708.57x = 599,778.18
  5. Step 5: Solve for x
    x = 599,778.18/708.57
  6. Step 6: Final answer
    x = 846.46

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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.