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Finding the Fourth Proportional to 839.68, 1,258.72 and 406.24

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Solution

The fourth proportional to 839.68, 1,258.72 and 406.24 is: 608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.68 : 1,258.72 = 406.24 : x
  2. Step 2: Convert to fraction form
    839.68/1,258.72 = 406.24/x
  3. Step 3: Cross multiply
    839.68x = 1,258.72 × 406.24
  4. Step 4: Simplify right side
    839.68x = 511,342.41
  5. Step 5: Solve for x
    x = 511,342.41/839.68
  6. Step 6: Final answer
    x = 608.97

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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.