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Finding the Fourth Proportional to 1,194.06, 1,648.16 and 840.08

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Solution

The fourth proportional to 1,194.06, 1,648.16 and 840.08 is: 1,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.06 : 1,648.16 = 840.08 : x
  2. Step 2: Convert to fraction form
    1,194.06/1,648.16 = 840.08/x
  3. Step 3: Cross multiply
    1,194.06x = 1,648.16 × 840.08
  4. Step 4: Simplify right side
    1,194.06x = 1,384,586.25
  5. Step 5: Solve for x
    x = 1,384,586.25/1,194.06
  6. Step 6: Final answer
    x = 1,159.56

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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.