Home / 1,190.12-1,784.50-459.60

Finding the Fourth Proportional to 1,190.12, 1,784.50 and 459.60

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Solution

The fourth proportional to 1,190.12, 1,784.50 and 459.60 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.12 : 1,784.50 = 459.60 : x
  2. Step 2: Convert to fraction form
    1,190.12/1,784.50 = 459.60/x
  3. Step 3: Cross multiply
    1,190.12x = 1,784.50 × 459.60
  4. Step 4: Simplify right side
    1,190.12x = 820,156.20
  5. Step 5: Solve for x
    x = 820,156.20/1,190.12
  6. Step 6: Final answer
    x = 689.14

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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.