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Finding the Fourth Proportional to 1,297.61, 1,944.36 and 809.93

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Solution

The fourth proportional to 1,297.61, 1,944.36 and 809.93 is: 1,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.61 : 1,944.36 = 809.93 : x
  2. Step 2: Convert to fraction form
    1,297.61/1,944.36 = 809.93/x
  3. Step 3: Cross multiply
    1,297.61x = 1,944.36 × 809.93
  4. Step 4: Simplify right side
    1,297.61x = 1,574,785.77
  5. Step 5: Solve for x
    x = 1,574,785.77/1,297.61
  6. Step 6: Final answer
    x = 1,213.61

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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.