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Finding the Fourth Proportional to 1,908.84, 2,863.53 and 609.87

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Solution

The fourth proportional to 1,908.84, 2,863.53 and 609.87 is: 914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.84 : 2,863.53 = 609.87 : x
  2. Step 2: Convert to fraction form
    1,908.84/2,863.53 = 609.87/x
  3. Step 3: Cross multiply
    1,908.84x = 2,863.53 × 609.87
  4. Step 4: Simplify right side
    1,908.84x = 1,746,381.04
  5. Step 5: Solve for x
    x = 1,746,381.04/1,908.84
  6. Step 6: Final answer
    x = 914.89

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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.