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Finding the Fourth Proportional to 1,192.48, 1,641.20 and 842.56

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Solution

The fourth proportional to 1,192.48, 1,641.20 and 842.56 is: 1,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.48 : 1,641.20 = 842.56 : x
  2. Step 2: Convert to fraction form
    1,192.48/1,641.20 = 842.56/x
  3. Step 3: Cross multiply
    1,192.48x = 1,641.20 × 842.56
  4. Step 4: Simplify right side
    1,192.48x = 1,382,809.47
  5. Step 5: Solve for x
    x = 1,382,809.47/1,192.48
  6. Step 6: Final answer
    x = 1,159.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.