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Finding the Fourth Proportional to 1,335.30, 2,003.88 and 469.68

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Solution

The fourth proportional to 1,335.30, 2,003.88 and 469.68 is: 704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.30 : 2,003.88 = 469.68 : x
  2. Step 2: Convert to fraction form
    1,335.30/2,003.88 = 469.68/x
  3. Step 3: Cross multiply
    1,335.30x = 2,003.88 × 469.68
  4. Step 4: Simplify right side
    1,335.30x = 941,182.36
  5. Step 5: Solve for x
    x = 941,182.36/1,335.30
  6. Step 6: Final answer
    x = 704.85

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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.