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Finding the Fourth Proportional to 680.40, 950.40 and 680.40

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Solution

The fourth proportional to 680.40, 950.40 and 680.40 is: 950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.40 : 950.40 = 680.40 : x
  2. Step 2: Convert to fraction form
    680.40/950.40 = 680.40/x
  3. Step 3: Cross multiply
    680.40x = 950.40 × 680.40
  4. Step 4: Simplify right side
    680.40x = 646,652.16
  5. Step 5: Solve for x
    x = 646,652.16/680.40
  6. Step 6: Final answer
    x = 950.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.