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Finding the Fourth Proportional to 967.05, 1,334.58 and 547.42

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Solution

The fourth proportional to 967.05, 1,334.58 and 547.42 is: 755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.05 : 1,334.58 = 547.42 : x
  2. Step 2: Convert to fraction form
    967.05/1,334.58 = 547.42/x
  3. Step 3: Cross multiply
    967.05x = 1,334.58 × 547.42
  4. Step 4: Simplify right side
    967.05x = 730,575.78
  5. Step 5: Solve for x
    x = 730,575.78/967.05
  6. Step 6: Final answer
    x = 755.47

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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.