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Finding the Fourth Proportional to 1,335.90, 2,003.61 and 362.08

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Solution

The fourth proportional to 1,335.90, 2,003.61 and 362.08 is: 543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.90 : 2,003.61 = 362.08 : x
  2. Step 2: Convert to fraction form
    1,335.90/2,003.61 = 362.08/x
  3. Step 3: Cross multiply
    1,335.90x = 2,003.61 × 362.08
  4. Step 4: Simplify right side
    1,335.90x = 725,467.11
  5. Step 5: Solve for x
    x = 725,467.11/1,335.90
  6. Step 6: Final answer
    x = 543.05

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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.