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Finding the Fourth Proportional to 1,119.57, 1,678.41 and 875.36

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Solution

The fourth proportional to 1,119.57, 1,678.41 and 875.36 is: 1,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.57 : 1,678.41 = 875.36 : x
  2. Step 2: Convert to fraction form
    1,119.57/1,678.41 = 875.36/x
  3. Step 3: Cross multiply
    1,119.57x = 1,678.41 × 875.36
  4. Step 4: Simplify right side
    1,119.57x = 1,469,204.59
  5. Step 5: Solve for x
    x = 1,469,204.59/1,119.57
  6. Step 6: Final answer
    x = 1,312.29

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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.