Home / 1,288.14-1,932.54-466.50

Finding the Fourth Proportional to 1,288.14, 1,932.54 and 466.50

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Solution

The fourth proportional to 1,288.14, 1,932.54 and 466.50 is: 699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.14 : 1,932.54 = 466.50 : x
  2. Step 2: Convert to fraction form
    1,288.14/1,932.54 = 466.50/x
  3. Step 3: Cross multiply
    1,288.14x = 1,932.54 × 466.50
  4. Step 4: Simplify right side
    1,288.14x = 901,529.91
  5. Step 5: Solve for x
    x = 901,529.91/1,288.14
  6. Step 6: Final answer
    x = 699.87

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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.