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Finding the Fourth Proportional to 1,207.82, 1,809.26 and 589.68

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Solution

The fourth proportional to 1,207.82, 1,809.26 and 589.68 is: 883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.82 : 1,809.26 = 589.68 : x
  2. Step 2: Convert to fraction form
    1,207.82/1,809.26 = 589.68/x
  3. Step 3: Cross multiply
    1,207.82x = 1,809.26 × 589.68
  4. Step 4: Simplify right side
    1,207.82x = 1,066,884.44
  5. Step 5: Solve for x
    x = 1,066,884.44/1,207.82
  6. Step 6: Final answer
    x = 883.31

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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.