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Finding the Fourth Proportional to 967.52, 1,336.02 and 920.54

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Solution

The fourth proportional to 967.52, 1,336.02 and 920.54 is: 1,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.52 : 1,336.02 = 920.54 : x
  2. Step 2: Convert to fraction form
    967.52/1,336.02 = 920.54/x
  3. Step 3: Cross multiply
    967.52x = 1,336.02 × 920.54
  4. Step 4: Simplify right side
    967.52x = 1,229,859.85
  5. Step 5: Solve for x
    x = 1,229,859.85/967.52
  6. Step 6: Final answer
    x = 1,271.15

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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.