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Finding the Fourth Proportional to 2,420.64, 3,631.56 and 689.25

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Solution

The fourth proportional to 2,420.64, 3,631.56 and 689.25 is: 1,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.64 : 3,631.56 = 689.25 : x
  2. Step 2: Convert to fraction form
    2,420.64/3,631.56 = 689.25/x
  3. Step 3: Cross multiply
    2,420.64x = 3,631.56 × 689.25
  4. Step 4: Simplify right side
    2,420.64x = 2,503,052.73
  5. Step 5: Solve for x
    x = 2,503,052.73/2,420.64
  6. Step 6: Final answer
    x = 1,034.05

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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.