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Finding the Fourth Proportional to 1,286.69, 1,928.32 and 583.37

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Solution

The fourth proportional to 1,286.69, 1,928.32 and 583.37 is: 874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.69 : 1,928.32 = 583.37 : x
  2. Step 2: Convert to fraction form
    1,286.69/1,928.32 = 583.37/x
  3. Step 3: Cross multiply
    1,286.69x = 1,928.32 × 583.37
  4. Step 4: Simplify right side
    1,286.69x = 1,124,925.06
  5. Step 5: Solve for x
    x = 1,124,925.06/1,286.69
  6. Step 6: Final answer
    x = 874.28

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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.