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Finding the Fourth Proportional to 705.97, 1,059.11 and 340.56

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Solution

The fourth proportional to 705.97, 1,059.11 and 340.56 is: 510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 1,059.11 = 340.56 : x
  2. Step 2: Convert to fraction form
    705.97/1,059.11 = 340.56/x
  3. Step 3: Cross multiply
    705.97x = 1,059.11 × 340.56
  4. Step 4: Simplify right side
    705.97x = 360,690.50
  5. Step 5: Solve for x
    x = 360,690.50/705.97
  6. Step 6: Final answer
    x = 510.91

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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.