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Finding the Fourth Proportional to 1,218.16, 1,828.86 and 641.44

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Solution

The fourth proportional to 1,218.16, 1,828.86 and 641.44 is: 963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.16 : 1,828.86 = 641.44 : x
  2. Step 2: Convert to fraction form
    1,218.16/1,828.86 = 641.44/x
  3. Step 3: Cross multiply
    1,218.16x = 1,828.86 × 641.44
  4. Step 4: Simplify right side
    1,218.16x = 1,173,103.96
  5. Step 5: Solve for x
    x = 1,173,103.96/1,218.16
  6. Step 6: Final answer
    x = 963.01

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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.