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Finding the Fourth Proportional to 1,664.23, 2,497.89 and 843.08

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Solution

The fourth proportional to 1,664.23, 2,497.89 and 843.08 is: 1,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.23 : 2,497.89 = 843.08 : x
  2. Step 2: Convert to fraction form
    1,664.23/2,497.89 = 843.08/x
  3. Step 3: Cross multiply
    1,664.23x = 2,497.89 × 843.08
  4. Step 4: Simplify right side
    1,664.23x = 2,105,921.10
  5. Step 5: Solve for x
    x = 2,105,921.10/1,664.23
  6. Step 6: Final answer
    x = 1,265.40

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1.5x scale

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.