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Finding the Fourth Proportional to 1,218.39, 1,827.08 and 467.79

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Solution

The fourth proportional to 1,218.39, 1,827.08 and 467.79 is: 701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.39 : 1,827.08 = 467.79 : x
  2. Step 2: Convert to fraction form
    1,218.39/1,827.08 = 467.79/x
  3. Step 3: Cross multiply
    1,218.39x = 1,827.08 × 467.79
  4. Step 4: Simplify right side
    1,218.39x = 854,684.95
  5. Step 5: Solve for x
    x = 854,684.95/1,218.39
  6. Step 6: Final answer
    x = 701.49

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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.