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Finding the Fourth Proportional to 706.02, 974.70 and 426.33

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Solution

The fourth proportional to 706.02, 974.70 and 426.33 is: 588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 974.70 = 426.33 : x
  2. Step 2: Convert to fraction form
    706.02/974.70 = 426.33/x
  3. Step 3: Cross multiply
    706.02x = 974.70 × 426.33
  4. Step 4: Simplify right side
    706.02x = 415,543.85
  5. Step 5: Solve for x
    x = 415,543.85/706.02
  6. Step 6: Final answer
    x = 588.57

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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.