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Finding the Fourth Proportional to 967.21, 1,334.65 and 547.58

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Solution

The fourth proportional to 967.21, 1,334.65 and 547.58 is: 755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.21 : 1,334.65 = 547.58 : x
  2. Step 2: Convert to fraction form
    967.21/1,334.65 = 547.58/x
  3. Step 3: Cross multiply
    967.21x = 1,334.65 × 547.58
  4. Step 4: Simplify right side
    967.21x = 730,819.60
  5. Step 5: Solve for x
    x = 730,819.60/967.21
  6. Step 6: Final answer
    x = 755.60

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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.