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Finding the Fourth Proportional to 1,739.43, 2,609.55 and 569.49

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Solution

The fourth proportional to 1,739.43, 2,609.55 and 569.49 is: 854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.43 : 2,609.55 = 569.49 : x
  2. Step 2: Convert to fraction form
    1,739.43/2,609.55 = 569.49/x
  3. Step 3: Cross multiply
    1,739.43x = 2,609.55 × 569.49
  4. Step 4: Simplify right side
    1,739.43x = 1,486,112.63
  5. Step 5: Solve for x
    x = 1,486,112.63/1,739.43
  6. Step 6: Final answer
    x = 854.37

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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.