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Finding the Fourth Proportional to 839.59, 1,259.46 and 345.89

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Solution

The fourth proportional to 839.59, 1,259.46 and 345.89 is: 518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.59 : 1,259.46 = 345.89 : x
  2. Step 2: Convert to fraction form
    839.59/1,259.46 = 345.89/x
  3. Step 3: Cross multiply
    839.59x = 1,259.46 × 345.89
  4. Step 4: Simplify right side
    839.59x = 435,634.62
  5. Step 5: Solve for x
    x = 435,634.62/839.59
  6. Step 6: Final answer
    x = 518.87

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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.