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Finding the Fourth Proportional to 706.81, 974.46 and 580.31

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Solution

The fourth proportional to 706.81, 974.46 and 580.31 is: 800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.81 : 974.46 = 580.31 : x
  2. Step 2: Convert to fraction form
    706.81/974.46 = 580.31/x
  3. Step 3: Cross multiply
    706.81x = 974.46 × 580.31
  4. Step 4: Simplify right side
    706.81x = 565,488.88
  5. Step 5: Solve for x
    x = 565,488.88/706.81
  6. Step 6: Final answer
    x = 800.06

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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.