Home / 1,189.62-1,784.51-459.26

Finding the Fourth Proportional to 1,189.62, 1,784.51 and 459.26

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Solution

The fourth proportional to 1,189.62, 1,784.51 and 459.26 is: 688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.62 : 1,784.51 = 459.26 : x
  2. Step 2: Convert to fraction form
    1,189.62/1,784.51 = 459.26/x
  3. Step 3: Cross multiply
    1,189.62x = 1,784.51 × 459.26
  4. Step 4: Simplify right side
    1,189.62x = 819,542.84
  5. Step 5: Solve for x
    x = 819,542.84/1,189.62
  6. Step 6: Final answer
    x = 688.91

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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.