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Finding the Fourth Proportional to 842.80, 1,162.22 and 606.34

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Solution

The fourth proportional to 842.80, 1,162.22 and 606.34 is: 836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.80 : 1,162.22 = 606.34 : x
  2. Step 2: Convert to fraction form
    842.80/1,162.22 = 606.34/x
  3. Step 3: Cross multiply
    842.80x = 1,162.22 × 606.34
  4. Step 4: Simplify right side
    842.80x = 704,700.47
  5. Step 5: Solve for x
    x = 704,700.47/842.80
  6. Step 6: Final answer
    x = 836.14

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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.