Home / 1,288.69-1,932.55-466.76

Finding the Fourth Proportional to 1,288.69, 1,932.55 and 466.76

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Solution

The fourth proportional to 1,288.69, 1,932.55 and 466.76 is: 699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.69 : 1,932.55 = 466.76 : x
  2. Step 2: Convert to fraction form
    1,288.69/1,932.55 = 466.76/x
  3. Step 3: Cross multiply
    1,288.69x = 1,932.55 × 466.76
  4. Step 4: Simplify right side
    1,288.69x = 902,037.04
  5. Step 5: Solve for x
    x = 902,037.04/1,288.69
  6. Step 6: Final answer
    x = 699.96

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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.