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Finding the Fourth Proportional to 1,898.57, 2,849.13 and 665.99

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Solution

The fourth proportional to 1,898.57, 2,849.13 and 665.99 is: 999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.57 : 2,849.13 = 665.99 : x
  2. Step 2: Convert to fraction form
    1,898.57/2,849.13 = 665.99/x
  3. Step 3: Cross multiply
    1,898.57x = 2,849.13 × 665.99
  4. Step 4: Simplify right side
    1,898.57x = 1,897,492.09
  5. Step 5: Solve for x
    x = 1,897,492.09/1,898.57
  6. Step 6: Final answer
    x = 999.43

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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.