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Finding the Fourth Proportional to 1,464.09, 2,020.43 and 800.93

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Solution

The fourth proportional to 1,464.09, 2,020.43 and 800.93 is: 1,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.09 : 2,020.43 = 800.93 : x
  2. Step 2: Convert to fraction form
    1,464.09/2,020.43 = 800.93/x
  3. Step 3: Cross multiply
    1,464.09x = 2,020.43 × 800.93
  4. Step 4: Simplify right side
    1,464.09x = 1,618,230.05
  5. Step 5: Solve for x
    x = 1,618,230.05/1,464.09
  6. Step 6: Final answer
    x = 1,105.28

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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.