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Finding the Fourth Proportional to 1,288.22, 1,933.59 and 923.66

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Solution

The fourth proportional to 1,288.22, 1,933.59 and 923.66 is: 1,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.22 : 1,933.59 = 923.66 : x
  2. Step 2: Convert to fraction form
    1,288.22/1,933.59 = 923.66/x
  3. Step 3: Cross multiply
    1,288.22x = 1,933.59 × 923.66
  4. Step 4: Simplify right side
    1,288.22x = 1,785,979.74
  5. Step 5: Solve for x
    x = 1,785,979.74/1,288.22
  6. Step 6: Final answer
    x = 1,386.39

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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.