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Finding the Fourth Proportional to 559.60, 837.80 and 343.60

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Solution

The fourth proportional to 559.60, 837.80 and 343.60 is: 514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.60 : 837.80 = 343.60 : x
  2. Step 2: Convert to fraction form
    559.60/837.80 = 343.60/x
  3. Step 3: Cross multiply
    559.60x = 837.80 × 343.60
  4. Step 4: Simplify right side
    559.60x = 287,868.08
  5. Step 5: Solve for x
    x = 287,868.08/559.60
  6. Step 6: Final answer
    x = 514.42

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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.