Home / 1,464.18-2,020.48-800.99

Finding the Fourth Proportional to 1,464.18, 2,020.48 and 800.99

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Solution

The fourth proportional to 1,464.18, 2,020.48 and 800.99 is: 1,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.18 : 2,020.48 = 800.99 : x
  2. Step 2: Convert to fraction form
    1,464.18/2,020.48 = 800.99/x
  3. Step 3: Cross multiply
    1,464.18x = 2,020.48 × 800.99
  4. Step 4: Simplify right side
    1,464.18x = 1,618,380.27
  5. Step 5: Solve for x
    x = 1,618,380.27/1,464.18
  6. Step 6: Final answer
    x = 1,105.32

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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.