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Finding the Fourth Proportional to 1,140.75, 1,574.64 and 878.31

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Solution

The fourth proportional to 1,140.75, 1,574.64 and 878.31 is: 1,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.75 : 1,574.64 = 878.31 : x
  2. Step 2: Convert to fraction form
    1,140.75/1,574.64 = 878.31/x
  3. Step 3: Cross multiply
    1,140.75x = 1,574.64 × 878.31
  4. Step 4: Simplify right side
    1,140.75x = 1,383,022.06
  5. Step 5: Solve for x
    x = 1,383,022.06/1,140.75
  6. Step 6: Final answer
    x = 1,212.38

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1.5x scale

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.