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Finding the Fourth Proportional to 679.87, 1,019.50 and 289.86

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Solution

The fourth proportional to 679.87, 1,019.50 and 289.86 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.87 : 1,019.50 = 289.86 : x
  2. Step 2: Convert to fraction form
    679.87/1,019.50 = 289.86/x
  3. Step 3: Cross multiply
    679.87x = 1,019.50 × 289.86
  4. Step 4: Simplify right side
    679.87x = 295,512.27
  5. Step 5: Solve for x
    x = 295,512.27/679.87
  6. Step 6: Final answer
    x = 434.66

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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.