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Finding the Fourth Proportional to 1,218.21, 1,827.71 and 670.78

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Solution

The fourth proportional to 1,218.21, 1,827.71 and 670.78 is: 1,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.21 : 1,827.71 = 670.78 : x
  2. Step 2: Convert to fraction form
    1,218.21/1,827.71 = 670.78/x
  3. Step 3: Cross multiply
    1,218.21x = 1,827.71 × 670.78
  4. Step 4: Simplify right side
    1,218.21x = 1,225,990.87
  5. Step 5: Solve for x
    x = 1,225,990.87/1,218.21
  6. Step 6: Final answer
    x = 1,006.38

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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.