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Finding the Fourth Proportional to 1,579.19, 2,370.81 and 994.37

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Solution

The fourth proportional to 1,579.19, 2,370.81 and 994.37 is: 1,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.19 : 2,370.81 = 994.37 : x
  2. Step 2: Convert to fraction form
    1,579.19/2,370.81 = 994.37/x
  3. Step 3: Cross multiply
    1,579.19x = 2,370.81 × 994.37
  4. Step 4: Simplify right side
    1,579.19x = 2,357,462.34
  5. Step 5: Solve for x
    x = 2,357,462.34/1,579.19
  6. Step 6: Final answer
    x = 1,492.83

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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.