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Finding the Fourth Proportional to 839.97, 1,259.15 and 406.89

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Solution

The fourth proportional to 839.97, 1,259.15 and 406.89 is: 609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.97 : 1,259.15 = 406.89 : x
  2. Step 2: Convert to fraction form
    839.97/1,259.15 = 406.89/x
  3. Step 3: Cross multiply
    839.97x = 1,259.15 × 406.89
  4. Step 4: Simplify right side
    839.97x = 512,333.51
  5. Step 5: Solve for x
    x = 512,333.51/839.97
  6. Step 6: Final answer
    x = 609.94

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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.