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Finding the Fourth Proportional to 706.67, 975.32 and 426.95

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Solution

The fourth proportional to 706.67, 975.32 and 426.95 is: 589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.67 : 975.32 = 426.95 : x
  2. Step 2: Convert to fraction form
    706.67/975.32 = 426.95/x
  3. Step 3: Cross multiply
    706.67x = 975.32 × 426.95
  4. Step 4: Simplify right side
    706.67x = 416,410.78
  5. Step 5: Solve for x
    x = 416,410.78/706.67
  6. Step 6: Final answer
    x = 589.25

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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.