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Finding the Fourth Proportional to 839.91, 1,258.41 and 406.14

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Solution

The fourth proportional to 839.91, 1,258.41 and 406.14 is: 608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.91 : 1,258.41 = 406.14 : x
  2. Step 2: Convert to fraction form
    839.91/1,258.41 = 406.14/x
  3. Step 3: Cross multiply
    839.91x = 1,258.41 × 406.14
  4. Step 4: Simplify right side
    839.91x = 511,090.64
  5. Step 5: Solve for x
    x = 511,090.64/839.91
  6. Step 6: Final answer
    x = 608.51

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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.