Home / 1,464.09-2,020.45-800.94

Finding the Fourth Proportional to 1,464.09, 2,020.45 and 800.94

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Solution

The fourth proportional to 1,464.09, 2,020.45 and 800.94 is: 1,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.09 : 2,020.45 = 800.94 : x
  2. Step 2: Convert to fraction form
    1,464.09/2,020.45 = 800.94/x
  3. Step 3: Cross multiply
    1,464.09x = 2,020.45 × 800.94
  4. Step 4: Simplify right side
    1,464.09x = 1,618,266.30
  5. Step 5: Solve for x
    x = 1,618,266.30/1,464.09
  6. Step 6: Final answer
    x = 1,105.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.