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Finding the Fourth Proportional to 839.92, 1,258.71 and 469.39

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Solution

The fourth proportional to 839.92, 1,258.71 and 469.39 is: 703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.92 : 1,258.71 = 469.39 : x
  2. Step 2: Convert to fraction form
    839.92/1,258.71 = 469.39/x
  3. Step 3: Cross multiply
    839.92x = 1,258.71 × 469.39
  4. Step 4: Simplify right side
    839.92x = 590,825.89
  5. Step 5: Solve for x
    x = 590,825.89/839.92
  6. Step 6: Final answer
    x = 703.43

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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.