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Finding the Fourth Proportional to 1,335.12, 2,003.98 and 642.27

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Solution

The fourth proportional to 1,335.12, 2,003.98 and 642.27 is: 964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.12 : 2,003.98 = 642.27 : x
  2. Step 2: Convert to fraction form
    1,335.12/2,003.98 = 642.27/x
  3. Step 3: Cross multiply
    1,335.12x = 2,003.98 × 642.27
  4. Step 4: Simplify right side
    1,335.12x = 1,287,094.63
  5. Step 5: Solve for x
    x = 1,287,094.63/1,335.12
  6. Step 6: Final answer
    x = 964.03

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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.