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Finding the Fourth Proportional to 1,400.84, 2,098.07 and 670.94

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Solution

The fourth proportional to 1,400.84, 2,098.07 and 670.94 is: 1,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.84 : 2,098.07 = 670.94 : x
  2. Step 2: Convert to fraction form
    1,400.84/2,098.07 = 670.94/x
  3. Step 3: Cross multiply
    1,400.84x = 2,098.07 × 670.94
  4. Step 4: Simplify right side
    1,400.84x = 1,407,665.24
  5. Step 5: Solve for x
    x = 1,407,665.24/1,400.84
  6. Step 6: Final answer
    x = 1,004.87

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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.