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Finding the Fourth Proportional to 693.92, 1,041.02 and 206.96

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Solution

The fourth proportional to 693.92, 1,041.02 and 206.96 is: 310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.92 : 1,041.02 = 206.96 : x
  2. Step 2: Convert to fraction form
    693.92/1,041.02 = 206.96/x
  3. Step 3: Cross multiply
    693.92x = 1,041.02 × 206.96
  4. Step 4: Simplify right side
    693.92x = 215,449.50
  5. Step 5: Solve for x
    x = 215,449.50/693.92
  6. Step 6: Final answer
    x = 310.48

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Double scale
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1.5x scale

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.