Home / 1,464.16-2,197.80-815.44

Finding the Fourth Proportional to 1,464.16, 2,197.80 and 815.44

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Solution

The fourth proportional to 1,464.16, 2,197.80 and 815.44 is: 1,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.16 : 2,197.80 = 815.44 : x
  2. Step 2: Convert to fraction form
    1,464.16/2,197.80 = 815.44/x
  3. Step 3: Cross multiply
    1,464.16x = 2,197.80 × 815.44
  4. Step 4: Simplify right side
    1,464.16x = 1,792,174.03
  5. Step 5: Solve for x
    x = 1,792,174.03/1,464.16
  6. Step 6: Final answer
    x = 1,224.03

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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.