Home / 1,533.23-2,299.83-711.39

Finding the Fourth Proportional to 1,533.23, 2,299.83 and 711.39

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Solution

The fourth proportional to 1,533.23, 2,299.83 and 711.39 is: 1,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.23 : 2,299.83 = 711.39 : x
  2. Step 2: Convert to fraction form
    1,533.23/2,299.83 = 711.39/x
  3. Step 3: Cross multiply
    1,533.23x = 2,299.83 × 711.39
  4. Step 4: Simplify right side
    1,533.23x = 1,636,076.06
  5. Step 5: Solve for x
    x = 1,636,076.06/1,533.23
  6. Step 6: Final answer
    x = 1,067.08

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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.