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Finding the Fourth Proportional to 679.48, 1,019.24 and 289.38

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Solution

The fourth proportional to 679.48, 1,019.24 and 289.38 is: 434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.48 : 1,019.24 = 289.38 : x
  2. Step 2: Convert to fraction form
    679.48/1,019.24 = 289.38/x
  3. Step 3: Cross multiply
    679.48x = 1,019.24 × 289.38
  4. Step 4: Simplify right side
    679.48x = 294,947.67
  5. Step 5: Solve for x
    x = 294,947.67/679.48
  6. Step 6: Final answer
    x = 434.08

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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.