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Finding the Fourth Proportional to 706.31, 1,059.46 and 428.66

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Solution

The fourth proportional to 706.31, 1,059.46 and 428.66 is: 642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.31 : 1,059.46 = 428.66 : x
  2. Step 2: Convert to fraction form
    706.31/1,059.46 = 428.66/x
  3. Step 3: Cross multiply
    706.31x = 1,059.46 × 428.66
  4. Step 4: Simplify right side
    706.31x = 454,148.12
  5. Step 5: Solve for x
    x = 454,148.12/706.31
  6. Step 6: Final answer
    x = 642.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.