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Finding the Fourth Proportional to 1,648.64, 2,468.33 and 905.54

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Solution

The fourth proportional to 1,648.64, 2,468.33 and 905.54 is: 1,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.64 : 2,468.33 = 905.54 : x
  2. Step 2: Convert to fraction form
    1,648.64/2,468.33 = 905.54/x
  3. Step 3: Cross multiply
    1,648.64x = 2,468.33 × 905.54
  4. Step 4: Simplify right side
    1,648.64x = 2,235,171.55
  5. Step 5: Solve for x
    x = 2,235,171.55/1,648.64
  6. Step 6: Final answer
    x = 1,355.77

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1.5x scale

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.