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Finding the Fourth Proportional to 680.18, 1,019.76 and 315.26

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Solution

The fourth proportional to 680.18, 1,019.76 and 315.26 is: 472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.18 : 1,019.76 = 315.26 : x
  2. Step 2: Convert to fraction form
    680.18/1,019.76 = 315.26/x
  3. Step 3: Cross multiply
    680.18x = 1,019.76 × 315.26
  4. Step 4: Simplify right side
    680.18x = 321,489.54
  5. Step 5: Solve for x
    x = 321,489.54/680.18
  6. Step 6: Final answer
    x = 472.65

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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.