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Finding the Fourth Proportional to 2,297.81, 3,446.19 and 654.32

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Solution

The fourth proportional to 2,297.81, 3,446.19 and 654.32 is: 981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.81 : 3,446.19 = 654.32 : x
  2. Step 2: Convert to fraction form
    2,297.81/3,446.19 = 654.32/x
  3. Step 3: Cross multiply
    2,297.81x = 3,446.19 × 654.32
  4. Step 4: Simplify right side
    2,297.81x = 2,254,911.04
  5. Step 5: Solve for x
    x = 2,254,911.04/2,297.81
  6. Step 6: Final answer
    x = 981.33

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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.