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Finding the Fourth Proportional to 706.75, 975.35 and 426.97

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Solution

The fourth proportional to 706.75, 975.35 and 426.97 is: 589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.75 : 975.35 = 426.97 : x
  2. Step 2: Convert to fraction form
    706.75/975.35 = 426.97/x
  3. Step 3: Cross multiply
    706.75x = 975.35 × 426.97
  4. Step 4: Simplify right side
    706.75x = 416,443.82
  5. Step 5: Solve for x
    x = 416,443.82/706.75
  6. Step 6: Final answer
    x = 589.24

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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.