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Finding the Fourth Proportional to 1,190.02, 1,784.78 and 842.37

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Solution

The fourth proportional to 1,190.02, 1,784.78 and 842.37 is: 1,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.02 : 1,784.78 = 842.37 : x
  2. Step 2: Convert to fraction form
    1,190.02/1,784.78 = 842.37/x
  3. Step 3: Cross multiply
    1,190.02x = 1,784.78 × 842.37
  4. Step 4: Simplify right side
    1,190.02x = 1,503,445.13
  5. Step 5: Solve for x
    x = 1,503,445.13/1,190.02
  6. Step 6: Final answer
    x = 1,263.38

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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.