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Finding the Fourth Proportional to 706.80, 1,059.88 and 414.60

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Solution

The fourth proportional to 706.80, 1,059.88 and 414.60 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 1,059.88 = 414.60 : x
  2. Step 2: Convert to fraction form
    706.80/1,059.88 = 414.60/x
  3. Step 3: Cross multiply
    706.80x = 1,059.88 × 414.60
  4. Step 4: Simplify right side
    706.80x = 439,426.25
  5. Step 5: Solve for x
    x = 439,426.25/706.80
  6. Step 6: Final answer
    x = 621.71

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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.