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Finding the Fourth Proportional to 1,335.35, 2,002.52 and 641.86

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Solution

The fourth proportional to 1,335.35, 2,002.52 and 641.86 is: 962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.35 : 2,002.52 = 641.86 : x
  2. Step 2: Convert to fraction form
    1,335.35/2,002.52 = 641.86/x
  3. Step 3: Cross multiply
    1,335.35x = 2,002.52 × 641.86
  4. Step 4: Simplify right side
    1,335.35x = 1,285,334.09
  5. Step 5: Solve for x
    x = 1,285,334.09/1,335.35
  6. Step 6: Final answer
    x = 962.54

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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.