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Finding the Fourth Proportional to 3,098.05, 4,645.76 and 905.99

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Solution

The fourth proportional to 3,098.05, 4,645.76 and 905.99 is: 1,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.05 : 4,645.76 = 905.99 : x
  2. Step 2: Convert to fraction form
    3,098.05/4,645.76 = 905.99/x
  3. Step 3: Cross multiply
    3,098.05x = 4,645.76 × 905.99
  4. Step 4: Simplify right side
    3,098.05x = 4,208,984.34
  5. Step 5: Solve for x
    x = 4,208,984.34/3,098.05
  6. Step 6: Final answer
    x = 1,358.59

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1.5x scale

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.