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Finding the Fourth Proportional to 494.40, 743.20 and 465.60

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Solution

The fourth proportional to 494.40, 743.20 and 465.60 is: 699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.40 : 743.20 = 465.60 : x
  2. Step 2: Convert to fraction form
    494.40/743.20 = 465.60/x
  3. Step 3: Cross multiply
    494.40x = 743.20 × 465.60
  4. Step 4: Simplify right side
    494.40x = 346,033.92
  5. Step 5: Solve for x
    x = 346,033.92/494.40
  6. Step 6: Final answer
    x = 699.91

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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.