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Finding the Fourth Proportional to 1,857.74, 2,786.90 and 607.94

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Solution

The fourth proportional to 1,857.74, 2,786.90 and 607.94 is: 912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.74 : 2,786.90 = 607.94 : x
  2. Step 2: Convert to fraction form
    1,857.74/2,786.90 = 607.94/x
  3. Step 3: Cross multiply
    1,857.74x = 2,786.90 × 607.94
  4. Step 4: Simplify right side
    1,857.74x = 1,694,267.99
  5. Step 5: Solve for x
    x = 1,694,267.99/1,857.74
  6. Step 6: Final answer
    x = 912.00

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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.