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Finding the Fourth Proportional to 1,190.15, 1,785.73 and 460.24

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Solution

The fourth proportional to 1,190.15, 1,785.73 and 460.24 is: 690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.15 : 1,785.73 = 460.24 : x
  2. Step 2: Convert to fraction form
    1,190.15/1,785.73 = 460.24/x
  3. Step 3: Cross multiply
    1,190.15x = 1,785.73 × 460.24
  4. Step 4: Simplify right side
    1,190.15x = 821,858.76
  5. Step 5: Solve for x
    x = 821,858.76/1,190.15
  6. Step 6: Final answer
    x = 690.55

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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.