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Finding the Fourth Proportional to 706.77, 1,059.21 and 340.83

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Solution

The fourth proportional to 706.77, 1,059.21 and 340.83 is: 510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.77 : 1,059.21 = 340.83 : x
  2. Step 2: Convert to fraction form
    706.77/1,059.21 = 340.83/x
  3. Step 3: Cross multiply
    706.77x = 1,059.21 × 340.83
  4. Step 4: Simplify right side
    706.77x = 361,010.54
  5. Step 5: Solve for x
    x = 361,010.54/706.77
  6. Step 6: Final answer
    x = 510.79

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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.