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Finding the Fourth Proportional to 1,902.45, 2,853.78 and 587.11

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Solution

The fourth proportional to 1,902.45, 2,853.78 and 587.11 is: 880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.45 : 2,853.78 = 587.11 : x
  2. Step 2: Convert to fraction form
    1,902.45/2,853.78 = 587.11/x
  3. Step 3: Cross multiply
    1,902.45x = 2,853.78 × 587.11
  4. Step 4: Simplify right side
    1,902.45x = 1,675,482.09
  5. Step 5: Solve for x
    x = 1,675,482.09/1,902.45
  6. Step 6: Final answer
    x = 880.70

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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.