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Finding the Fourth Proportional to 701.60, 967.59 and 480.20

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Solution

The fourth proportional to 701.60, 967.59 and 480.20 is: 662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.60 : 967.59 = 480.20 : x
  2. Step 2: Convert to fraction form
    701.60/967.59 = 480.20/x
  3. Step 3: Cross multiply
    701.60x = 967.59 × 480.20
  4. Step 4: Simplify right side
    701.60x = 464,631.88
  5. Step 5: Solve for x
    x = 464,631.88/701.60
  6. Step 6: Final answer
    x = 662.25

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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.