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Finding the Fourth Proportional to 680.13, 1,020.14 and 290.12

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Solution

The fourth proportional to 680.13, 1,020.14 and 290.12 is: 435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 1,020.14 = 290.12 : x
  2. Step 2: Convert to fraction form
    680.13/1,020.14 = 290.12/x
  3. Step 3: Cross multiply
    680.13x = 1,020.14 × 290.12
  4. Step 4: Simplify right side
    680.13x = 295,963.49
  5. Step 5: Solve for x
    x = 295,963.49/680.13
  6. Step 6: Final answer
    x = 435.15

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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.