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Finding the Fourth Proportional to 706.99, 1,059.80 and 446.18

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Solution

The fourth proportional to 706.99, 1,059.80 and 446.18 is: 668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.99 : 1,059.80 = 446.18 : x
  2. Step 2: Convert to fraction form
    706.99/1,059.80 = 446.18/x
  3. Step 3: Cross multiply
    706.99x = 1,059.80 × 446.18
  4. Step 4: Simplify right side
    706.99x = 472,861.56
  5. Step 5: Solve for x
    x = 472,861.56/706.99
  6. Step 6: Final answer
    x = 668.84

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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.