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Finding the Fourth Proportional to 1,288.33, 1,933.17 and 703.75

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Solution

The fourth proportional to 1,288.33, 1,933.17 and 703.75 is: 1,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.33 : 1,933.17 = 703.75 : x
  2. Step 2: Convert to fraction form
    1,288.33/1,933.17 = 703.75/x
  3. Step 3: Cross multiply
    1,288.33x = 1,933.17 × 703.75
  4. Step 4: Simplify right side
    1,288.33x = 1,360,468.39
  5. Step 5: Solve for x
    x = 1,360,468.39/1,288.33
  6. Step 6: Final answer
    x = 1,055.99

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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.