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Finding the Fourth Proportional to 1,192.55, 1,789.23 and 1,077.53

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Solution

The fourth proportional to 1,192.55, 1,789.23 and 1,077.53 is: 1,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.55 : 1,789.23 = 1,077.53 : x
  2. Step 2: Convert to fraction form
    1,192.55/1,789.23 = 1,077.53/x
  3. Step 3: Cross multiply
    1,192.55x = 1,789.23 × 1,077.53
  4. Step 4: Simplify right side
    1,192.55x = 1,927,949.00
  5. Step 5: Solve for x
    x = 1,927,949.00/1,192.55
  6. Step 6: Final answer
    x = 1,616.66

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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.