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Finding the Fourth Proportional to 706.49, 1,059.38 and 414.06

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Solution

The fourth proportional to 706.49, 1,059.38 and 414.06 is: 620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.49 : 1,059.38 = 414.06 : x
  2. Step 2: Convert to fraction form
    706.49/1,059.38 = 414.06/x
  3. Step 3: Cross multiply
    706.49x = 1,059.38 × 414.06
  4. Step 4: Simplify right side
    706.49x = 438,639.52
  5. Step 5: Solve for x
    x = 438,639.52/706.49
  6. Step 6: Final answer
    x = 620.87

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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.