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Finding the Fourth Proportional to 1,189.90, 1,784.24 and 459.69

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Solution

The fourth proportional to 1,189.90, 1,784.24 and 459.69 is: 689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.90 : 1,784.24 = 459.69 : x
  2. Step 2: Convert to fraction form
    1,189.90/1,784.24 = 459.69/x
  3. Step 3: Cross multiply
    1,189.90x = 1,784.24 × 459.69
  4. Step 4: Simplify right side
    1,189.90x = 820,197.29
  5. Step 5: Solve for x
    x = 820,197.29/1,189.90
  6. Step 6: Final answer
    x = 689.30

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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.