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Finding the Fourth Proportional to 958.35, 1,437.69 and 342.09

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Solution

The fourth proportional to 958.35, 1,437.69 and 342.09 is: 513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.35 : 1,437.69 = 342.09 : x
  2. Step 2: Convert to fraction form
    958.35/1,437.69 = 342.09/x
  3. Step 3: Cross multiply
    958.35x = 1,437.69 × 342.09
  4. Step 4: Simplify right side
    958.35x = 491,819.37
  5. Step 5: Solve for x
    x = 491,819.37/958.35
  6. Step 6: Final answer
    x = 513.19

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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.