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Finding the Fourth Proportional to 1,194.40, 1,647.84 and 820.72

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Solution

The fourth proportional to 1,194.40, 1,647.84 and 820.72 is: 1,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.40 : 1,647.84 = 820.72 : x
  2. Step 2: Convert to fraction form
    1,194.40/1,647.84 = 820.72/x
  3. Step 3: Cross multiply
    1,194.40x = 1,647.84 × 820.72
  4. Step 4: Simplify right side
    1,194.40x = 1,352,415.24
  5. Step 5: Solve for x
    x = 1,352,415.24/1,194.40
  6. Step 6: Final answer
    x = 1,132.30

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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.