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Finding the Fourth Proportional to 679.33, 1,019.60 and 314.33

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Solution

The fourth proportional to 679.33, 1,019.60 and 314.33 is: 471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.33 : 1,019.60 = 314.33 : x
  2. Step 2: Convert to fraction form
    679.33/1,019.60 = 314.33/x
  3. Step 3: Cross multiply
    679.33x = 1,019.60 × 314.33
  4. Step 4: Simplify right side
    679.33x = 320,486.56
  5. Step 5: Solve for x
    x = 320,486.56/679.33
  6. Step 6: Final answer
    x = 471.77

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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.