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Finding the Fourth Proportional to 839.07, 1,258.17 and 319.05

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Solution

The fourth proportional to 839.07, 1,258.17 and 319.05 is: 478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.07 : 1,258.17 = 319.05 : x
  2. Step 2: Convert to fraction form
    839.07/1,258.17 = 319.05/x
  3. Step 3: Cross multiply
    839.07x = 1,258.17 × 319.05
  4. Step 4: Simplify right side
    839.07x = 401,419.14
  5. Step 5: Solve for x
    x = 401,419.14/839.07
  6. Step 6: Final answer
    x = 478.41

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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.