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Finding the Fourth Proportional to 679.40, 1,019.36 and 314.36

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Solution

The fourth proportional to 679.40, 1,019.36 and 314.36 is: 471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.40 : 1,019.36 = 314.36 : x
  2. Step 2: Convert to fraction form
    679.40/1,019.36 = 314.36/x
  3. Step 3: Cross multiply
    679.40x = 1,019.36 × 314.36
  4. Step 4: Simplify right side
    679.40x = 320,446.01
  5. Step 5: Solve for x
    x = 320,446.01/679.40
  6. Step 6: Final answer
    x = 471.66

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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.