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Finding the Fourth Proportional to 680.84, 1,020.81 and 291.09

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Solution

The fourth proportional to 680.84, 1,020.81 and 291.09 is: 436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.84 : 1,020.81 = 291.09 : x
  2. Step 2: Convert to fraction form
    680.84/1,020.81 = 291.09/x
  3. Step 3: Cross multiply
    680.84x = 1,020.81 × 291.09
  4. Step 4: Simplify right side
    680.84x = 297,147.58
  5. Step 5: Solve for x
    x = 297,147.58/680.84
  6. Step 6: Final answer
    x = 436.45

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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.