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Finding the Fourth Proportional to 858.07, 1,286.34 and 419.07

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Solution

The fourth proportional to 858.07, 1,286.34 and 419.07 is: 628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.07 : 1,286.34 = 419.07 : x
  2. Step 2: Convert to fraction form
    858.07/1,286.34 = 419.07/x
  3. Step 3: Cross multiply
    858.07x = 1,286.34 × 419.07
  4. Step 4: Simplify right side
    858.07x = 539,069.76
  5. Step 5: Solve for x
    x = 539,069.76/858.07
  6. Step 6: Final answer
    x = 628.23

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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.