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Finding the Fourth Proportional to 2,405.64, 3,609.40 and 944.54

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Solution

The fourth proportional to 2,405.64, 3,609.40 and 944.54 is: 1,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.64 : 3,609.40 = 944.54 : x
  2. Step 2: Convert to fraction form
    2,405.64/3,609.40 = 944.54/x
  3. Step 3: Cross multiply
    2,405.64x = 3,609.40 × 944.54
  4. Step 4: Simplify right side
    2,405.64x = 3,409,222.68
  5. Step 5: Solve for x
    x = 3,409,222.68/2,405.64
  6. Step 6: Final answer
    x = 1,417.18

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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.