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Finding the Fourth Proportional to 1,190.83, 1,783.75 and 755.83

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Solution

The fourth proportional to 1,190.83, 1,783.75 and 755.83 is: 1,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.83 : 1,783.75 = 755.83 : x
  2. Step 2: Convert to fraction form
    1,190.83/1,783.75 = 755.83/x
  3. Step 3: Cross multiply
    1,190.83x = 1,783.75 × 755.83
  4. Step 4: Simplify right side
    1,190.83x = 1,348,211.76
  5. Step 5: Solve for x
    x = 1,348,211.76/1,190.83
  6. Step 6: Final answer
    x = 1,132.16

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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.