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Finding the Fourth Proportional to 706.74, 1,059.72 and 341.55

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Solution

The fourth proportional to 706.74, 1,059.72 and 341.55 is: 512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.74 : 1,059.72 = 341.55 : x
  2. Step 2: Convert to fraction form
    706.74/1,059.72 = 341.55/x
  3. Step 3: Cross multiply
    706.74x = 1,059.72 × 341.55
  4. Step 4: Simplify right side
    706.74x = 361,947.37
  5. Step 5: Solve for x
    x = 361,947.37/706.74
  6. Step 6: Final answer
    x = 512.14

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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.