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Finding the Fourth Proportional to 967.20, 1,334.08 and 617.60

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Solution

The fourth proportional to 967.20, 1,334.08 and 617.60 is: 851.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.20 : 1,334.08 = 617.60 : x
  2. Step 2: Convert to fraction form
    967.20/1,334.08 = 617.60/x
  3. Step 3: Cross multiply
    967.20x = 1,334.08 × 617.60
  4. Step 4: Simplify right side
    967.20x = 823,927.81
  5. Step 5: Solve for x
    x = 823,927.81/967.20
  6. Step 6: Final answer
    x = 851.87

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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.