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Finding the Fourth Proportional to 706.46, 1,059.17 and 552.71

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Solution

The fourth proportional to 706.46, 1,059.17 and 552.71 is: 828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.46 : 1,059.17 = 552.71 : x
  2. Step 2: Convert to fraction form
    706.46/1,059.17 = 552.71/x
  3. Step 3: Cross multiply
    706.46x = 1,059.17 × 552.71
  4. Step 4: Simplify right side
    706.46x = 585,413.74
  5. Step 5: Solve for x
    x = 585,413.74/706.46
  6. Step 6: Final answer
    x = 828.66

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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.