Home / 1,190.46-1,785.34-459.87

Finding the Fourth Proportional to 1,190.46, 1,785.34 and 459.87

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Solution

The fourth proportional to 1,190.46, 1,785.34 and 459.87 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.46 : 1,785.34 = 459.87 : x
  2. Step 2: Convert to fraction form
    1,190.46/1,785.34 = 459.87/x
  3. Step 3: Cross multiply
    1,190.46x = 1,785.34 × 459.87
  4. Step 4: Simplify right side
    1,190.46x = 821,014.23
  5. Step 5: Solve for x
    x = 821,014.23/1,190.46
  6. Step 6: Final answer
    x = 689.66

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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.