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Finding the Fourth Proportional to 1,286.07, 1,928.34 and 582.99

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Solution

The fourth proportional to 1,286.07, 1,928.34 and 582.99 is: 874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.07 : 1,928.34 = 582.99 : x
  2. Step 2: Convert to fraction form
    1,286.07/1,928.34 = 582.99/x
  3. Step 3: Cross multiply
    1,286.07x = 1,928.34 × 582.99
  4. Step 4: Simplify right side
    1,286.07x = 1,124,202.94
  5. Step 5: Solve for x
    x = 1,124,202.94/1,286.07
  6. Step 6: Final answer
    x = 874.14

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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.