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Finding the Fourth Proportional to 842.14, 1,162.25 and 606.03

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Solution

The fourth proportional to 842.14, 1,162.25 and 606.03 is: 836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.14 : 1,162.25 = 606.03 : x
  2. Step 2: Convert to fraction form
    842.14/1,162.25 = 606.03/x
  3. Step 3: Cross multiply
    842.14x = 1,162.25 × 606.03
  4. Step 4: Simplify right side
    842.14x = 704,358.37
  5. Step 5: Solve for x
    x = 704,358.37/842.14
  6. Step 6: Final answer
    x = 836.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.