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Finding the Fourth Proportional to 680.13, 1,018.83 and 314.41

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Solution

The fourth proportional to 680.13, 1,018.83 and 314.41 is: 470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 1,018.83 = 314.41 : x
  2. Step 2: Convert to fraction form
    680.13/1,018.83 = 314.41/x
  3. Step 3: Cross multiply
    680.13x = 1,018.83 × 314.41
  4. Step 4: Simplify right side
    680.13x = 320,330.34
  5. Step 5: Solve for x
    x = 320,330.34/680.13
  6. Step 6: Final answer
    x = 470.98

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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.