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Finding the Fourth Proportional to 706.92, 976.22 and 572.46

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Solution

The fourth proportional to 706.92, 976.22 and 572.46 is: 790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 976.22 = 572.46 : x
  2. Step 2: Convert to fraction form
    706.92/976.22 = 572.46/x
  3. Step 3: Cross multiply
    706.92x = 976.22 × 572.46
  4. Step 4: Simplify right side
    706.92x = 558,846.90
  5. Step 5: Solve for x
    x = 558,846.90/706.92
  6. Step 6: Final answer
    x = 790.54

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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.