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Finding the Fourth Proportional to 559.84, 840.30 and 343.84

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Solution

The fourth proportional to 559.84, 840.30 and 343.84 is: 516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.84 : 840.30 = 343.84 : x
  2. Step 2: Convert to fraction form
    559.84/840.30 = 343.84/x
  3. Step 3: Cross multiply
    559.84x = 840.30 × 343.84
  4. Step 4: Simplify right side
    559.84x = 288,928.75
  5. Step 5: Solve for x
    x = 288,928.75/559.84
  6. Step 6: Final answer
    x = 516.09

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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.