Home / 1,200.24-1,798.92-927.36

Finding the Fourth Proportional to 1,200.24, 1,798.92 and 927.36

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Solution

The fourth proportional to 1,200.24, 1,798.92 and 927.36 is: 1,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.24 : 1,798.92 = 927.36 : x
  2. Step 2: Convert to fraction form
    1,200.24/1,798.92 = 927.36/x
  3. Step 3: Cross multiply
    1,200.24x = 1,798.92 × 927.36
  4. Step 4: Simplify right side
    1,200.24x = 1,668,246.45
  5. Step 5: Solve for x
    x = 1,668,246.45/1,200.24
  6. Step 6: Final answer
    x = 1,389.93

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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.