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Finding the Fourth Proportional to 679.06, 1,017.87 and 288.97

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Solution

The fourth proportional to 679.06, 1,017.87 and 288.97 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.06 : 1,017.87 = 288.97 : x
  2. Step 2: Convert to fraction form
    679.06/1,017.87 = 288.97/x
  3. Step 3: Cross multiply
    679.06x = 1,017.87 × 288.97
  4. Step 4: Simplify right side
    679.06x = 294,128.80
  5. Step 5: Solve for x
    x = 294,128.80/679.06
  6. Step 6: Final answer
    x = 433.14

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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.