Home / 1,664.12-2,296.62-918.23

Finding the Fourth Proportional to 1,664.12, 2,296.62 and 918.23

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Solution

The fourth proportional to 1,664.12, 2,296.62 and 918.23 is: 1,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.12 : 2,296.62 = 918.23 : x
  2. Step 2: Convert to fraction form
    1,664.12/2,296.62 = 918.23/x
  3. Step 3: Cross multiply
    1,664.12x = 2,296.62 × 918.23
  4. Step 4: Simplify right side
    1,664.12x = 2,108,825.38
  5. Step 5: Solve for x
    x = 2,108,825.38/1,664.12
  6. Step 6: Final answer
    x = 1,267.23

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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.