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Finding the Fourth Proportional to 2,420.34, 3,630.07 and 641.41

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Solution

The fourth proportional to 2,420.34, 3,630.07 and 641.41 is: 962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.34 : 3,630.07 = 641.41 : x
  2. Step 2: Convert to fraction form
    2,420.34/3,630.07 = 641.41/x
  3. Step 3: Cross multiply
    2,420.34x = 3,630.07 × 641.41
  4. Step 4: Simplify right side
    2,420.34x = 2,328,353.32
  5. Step 5: Solve for x
    x = 2,328,353.32/2,420.34
  6. Step 6: Final answer
    x = 962.00

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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.