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Finding the Fourth Proportional to 947.90, 1,306.72 and 667.30

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Solution

The fourth proportional to 947.90, 1,306.72 and 667.30 is: 919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.90 : 1,306.72 = 667.30 : x
  2. Step 2: Convert to fraction form
    947.90/1,306.72 = 667.30/x
  3. Step 3: Cross multiply
    947.90x = 1,306.72 × 667.30
  4. Step 4: Simplify right side
    947.90x = 871,974.26
  5. Step 5: Solve for x
    x = 871,974.26/947.90
  6. Step 6: Final answer
    x = 919.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.