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Finding the Fourth Proportional to 680.81, 1,020.42 and 314.84

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Solution

The fourth proportional to 680.81, 1,020.42 and 314.84 is: 471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.81 : 1,020.42 = 314.84 : x
  2. Step 2: Convert to fraction form
    680.81/1,020.42 = 314.84/x
  3. Step 3: Cross multiply
    680.81x = 1,020.42 × 314.84
  4. Step 4: Simplify right side
    680.81x = 321,263.93
  5. Step 5: Solve for x
    x = 321,263.93/680.81
  6. Step 6: Final answer
    x = 471.89

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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.