Home / 1,205.62-1,805.55-929.70

Finding the Fourth Proportional to 1,205.62, 1,805.55 and 929.70

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Solution

The fourth proportional to 1,205.62, 1,805.55 and 929.70 is: 1,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.62 : 1,805.55 = 929.70 : x
  2. Step 2: Convert to fraction form
    1,205.62/1,805.55 = 929.70/x
  3. Step 3: Cross multiply
    1,205.62x = 1,805.55 × 929.70
  4. Step 4: Simplify right side
    1,205.62x = 1,678,619.84
  5. Step 5: Solve for x
    x = 1,678,619.84/1,205.62
  6. Step 6: Final answer
    x = 1,392.33

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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.