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Finding the Fourth Proportional to 706.44, 974.61 and 496.92

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Solution

The fourth proportional to 706.44, 974.61 and 496.92 is: 685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.44 : 974.61 = 496.92 : x
  2. Step 2: Convert to fraction form
    706.44/974.61 = 496.92/x
  3. Step 3: Cross multiply
    706.44x = 974.61 × 496.92
  4. Step 4: Simplify right side
    706.44x = 484,303.20
  5. Step 5: Solve for x
    x = 484,303.20/706.44
  6. Step 6: Final answer
    x = 685.55

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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.