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Finding the Fourth Proportional to 1,207.45, 1,811.04 and 1,003.33

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Solution

The fourth proportional to 1,207.45, 1,811.04 and 1,003.33 is: 1,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.45 : 1,811.04 = 1,003.33 : x
  2. Step 2: Convert to fraction form
    1,207.45/1,811.04 = 1,003.33/x
  3. Step 3: Cross multiply
    1,207.45x = 1,811.04 × 1,003.33
  4. Step 4: Simplify right side
    1,207.45x = 1,817,070.76
  5. Step 5: Solve for x
    x = 1,817,070.76/1,207.45
  6. Step 6: Final answer
    x = 1,504.88

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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.