Home / 1,288.74-1,931.22-800.31

Finding the Fourth Proportional to 1,288.74, 1,931.22 and 800.31

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Solution

The fourth proportional to 1,288.74, 1,931.22 and 800.31 is: 1,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.74 : 1,931.22 = 800.31 : x
  2. Step 2: Convert to fraction form
    1,288.74/1,931.22 = 800.31/x
  3. Step 3: Cross multiply
    1,288.74x = 1,931.22 × 800.31
  4. Step 4: Simplify right side
    1,288.74x = 1,545,574.68
  5. Step 5: Solve for x
    x = 1,545,574.68/1,288.74
  6. Step 6: Final answer
    x = 1,199.29

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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.