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Finding the Fourth Proportional to 1,405.75, 1,939.58 and 874.39

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Solution

The fourth proportional to 1,405.75, 1,939.58 and 874.39 is: 1,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.75 : 1,939.58 = 874.39 : x
  2. Step 2: Convert to fraction form
    1,405.75/1,939.58 = 874.39/x
  3. Step 3: Cross multiply
    1,405.75x = 1,939.58 × 874.39
  4. Step 4: Simplify right side
    1,405.75x = 1,695,949.36
  5. Step 5: Solve for x
    x = 1,695,949.36/1,405.75
  6. Step 6: Final answer
    x = 1,206.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.