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Finding the Fourth Proportional to 1,679.44, 2,313.42 and 1,604.92

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Solution

The fourth proportional to 1,679.44, 2,313.42 and 1,604.92 is: 2,210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.44 : 2,313.42 = 1,604.92 : x
  2. Step 2: Convert to fraction form
    1,679.44/2,313.42 = 1,604.92/x
  3. Step 3: Cross multiply
    1,679.44x = 2,313.42 × 1,604.92
  4. Step 4: Simplify right side
    1,679.44x = 3,712,854.03
  5. Step 5: Solve for x
    x = 3,712,854.03/1,679.44
  6. Step 6: Final answer
    x = 2,210.77

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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.