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Finding the Fourth Proportional to 839.46, 1,259.41 and 428.59

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Solution

The fourth proportional to 839.46, 1,259.41 and 428.59 is: 643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.46 : 1,259.41 = 428.59 : x
  2. Step 2: Convert to fraction form
    839.46/1,259.41 = 428.59/x
  3. Step 3: Cross multiply
    839.46x = 1,259.41 × 428.59
  4. Step 4: Simplify right side
    839.46x = 539,770.53
  5. Step 5: Solve for x
    x = 539,770.53/839.46
  6. Step 6: Final answer
    x = 643.00

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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.