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Finding the Fourth Proportional to 1,366.29, 2,048.96 and 845.51

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Solution

The fourth proportional to 1,366.29, 2,048.96 and 845.51 is: 1,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.29 : 2,048.96 = 845.51 : x
  2. Step 2: Convert to fraction form
    1,366.29/2,048.96 = 845.51/x
  3. Step 3: Cross multiply
    1,366.29x = 2,048.96 × 845.51
  4. Step 4: Simplify right side
    1,366.29x = 1,732,408.04
  5. Step 5: Solve for x
    x = 1,732,408.04/1,366.29
  6. Step 6: Final answer
    x = 1,267.97

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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.