Home / 1,022.12-1,533.78-405.89

Finding the Fourth Proportional to 1,022.12, 1,533.78 and 405.89

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Solution

The fourth proportional to 1,022.12, 1,533.78 and 405.89 is: 609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.12 : 1,533.78 = 405.89 : x
  2. Step 2: Convert to fraction form
    1,022.12/1,533.78 = 405.89/x
  3. Step 3: Cross multiply
    1,022.12x = 1,533.78 × 405.89
  4. Step 4: Simplify right side
    1,022.12x = 622,543.93
  5. Step 5: Solve for x
    x = 622,543.93/1,022.12
  6. Step 6: Final answer
    x = 609.07

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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.