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Finding the Fourth Proportional to 721.34, 1,082.70 and 446.60

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Solution

The fourth proportional to 721.34, 1,082.70 and 446.60 is: 670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.34 : 1,082.70 = 446.60 : x
  2. Step 2: Convert to fraction form
    721.34/1,082.70 = 446.60/x
  3. Step 3: Cross multiply
    721.34x = 1,082.70 × 446.60
  4. Step 4: Simplify right side
    721.34x = 483,533.82
  5. Step 5: Solve for x
    x = 483,533.82/721.34
  6. Step 6: Final answer
    x = 670.33

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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.