Home / 1,664.47-2,296.97-918.43

Finding the Fourth Proportional to 1,664.47, 2,296.97 and 918.43

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Solution

The fourth proportional to 1,664.47, 2,296.97 and 918.43 is: 1,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.47 : 2,296.97 = 918.43 : x
  2. Step 2: Convert to fraction form
    1,664.47/2,296.97 = 918.43/x
  3. Step 3: Cross multiply
    1,664.47x = 2,296.97 × 918.43
  4. Step 4: Simplify right side
    1,664.47x = 2,109,595.82
  5. Step 5: Solve for x
    x = 2,109,595.82/1,664.47
  6. Step 6: Final answer
    x = 1,267.43

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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.