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Finding the Fourth Proportional to 2,420.56, 3,631.16 and 689.23

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Solution

The fourth proportional to 2,420.56, 3,631.16 and 689.23 is: 1,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.56 : 3,631.16 = 689.23 : x
  2. Step 2: Convert to fraction form
    2,420.56/3,631.16 = 689.23/x
  3. Step 3: Cross multiply
    2,420.56x = 3,631.16 × 689.23
  4. Step 4: Simplify right side
    2,420.56x = 2,502,704.41
  5. Step 5: Solve for x
    x = 2,502,704.41/2,420.56
  6. Step 6: Final answer
    x = 1,033.94

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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.