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Finding the Fourth Proportional to 964.04, 1,446.60 and 758.60

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Solution

The fourth proportional to 964.04, 1,446.60 and 758.60 is: 1,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.04 : 1,446.60 = 758.60 : x
  2. Step 2: Convert to fraction form
    964.04/1,446.60 = 758.60/x
  3. Step 3: Cross multiply
    964.04x = 1,446.60 × 758.60
  4. Step 4: Simplify right side
    964.04x = 1,097,390.76
  5. Step 5: Solve for x
    x = 1,097,390.76/964.04
  6. Step 6: Final answer
    x = 1,138.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.