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Finding the Fourth Proportional to 1,288.77, 1,933.35 and 422.88

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Solution

The fourth proportional to 1,288.77, 1,933.35 and 422.88 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.77 : 1,933.35 = 422.88 : x
  2. Step 2: Convert to fraction form
    1,288.77/1,933.35 = 422.88/x
  3. Step 3: Cross multiply
    1,288.77x = 1,933.35 × 422.88
  4. Step 4: Simplify right side
    1,288.77x = 817,575.05
  5. Step 5: Solve for x
    x = 817,575.05/1,288.77
  6. Step 6: Final answer
    x = 634.38

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1.5x scale

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.