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Finding the Fourth Proportional to 700.85, 1,052.06 and 408.69

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Solution

The fourth proportional to 700.85, 1,052.06 and 408.69 is: 613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.85 : 1,052.06 = 408.69 : x
  2. Step 2: Convert to fraction form
    700.85/1,052.06 = 408.69/x
  3. Step 3: Cross multiply
    700.85x = 1,052.06 × 408.69
  4. Step 4: Simplify right side
    700.85x = 429,964.36
  5. Step 5: Solve for x
    x = 429,964.36/700.85
  6. Step 6: Final answer
    x = 613.49

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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.