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Finding the Fourth Proportional to 1,902.07, 2,853.51 and 603.64

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Solution

The fourth proportional to 1,902.07, 2,853.51 and 603.64 is: 905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.07 : 2,853.51 = 603.64 : x
  2. Step 2: Convert to fraction form
    1,902.07/2,853.51 = 603.64/x
  3. Step 3: Cross multiply
    1,902.07x = 2,853.51 × 603.64
  4. Step 4: Simplify right side
    1,902.07x = 1,722,492.78
  5. Step 5: Solve for x
    x = 1,722,492.78/1,902.07
  6. Step 6: Final answer
    x = 905.59

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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.