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Finding the Fourth Proportional to 2,304.63, 3,455.93 and 660.80

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Solution

The fourth proportional to 2,304.63, 3,455.93 and 660.80 is: 990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.63 : 3,455.93 = 660.80 : x
  2. Step 2: Convert to fraction form
    2,304.63/3,455.93 = 660.80/x
  3. Step 3: Cross multiply
    2,304.63x = 3,455.93 × 660.80
  4. Step 4: Simplify right side
    2,304.63x = 2,283,683.88
  5. Step 5: Solve for x
    x = 2,283,683.88/2,304.63
  6. Step 6: Final answer
    x = 990.91

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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.