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Finding the Fourth Proportional to 1,664.45, 2,296.91 and 908.24

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Solution

The fourth proportional to 1,664.45, 2,296.91 and 908.24 is: 1,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.45 : 2,296.91 = 908.24 : x
  2. Step 2: Convert to fraction form
    1,664.45/2,296.91 = 908.24/x
  3. Step 3: Cross multiply
    1,664.45x = 2,296.91 × 908.24
  4. Step 4: Simplify right side
    1,664.45x = 2,086,145.54
  5. Step 5: Solve for x
    x = 2,086,145.54/1,664.45
  6. Step 6: Final answer
    x = 1,253.35

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1.5x scale

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.