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Finding the Fourth Proportional to 858.41, 1,287.49 and 338.39

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Solution

The fourth proportional to 858.41, 1,287.49 and 338.39 is: 507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.41 : 1,287.49 = 338.39 : x
  2. Step 2: Convert to fraction form
    858.41/1,287.49 = 338.39/x
  3. Step 3: Cross multiply
    858.41x = 1,287.49 × 338.39
  4. Step 4: Simplify right side
    858.41x = 435,673.74
  5. Step 5: Solve for x
    x = 435,673.74/858.41
  6. Step 6: Final answer
    x = 507.54

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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.