Home / 1,218.36-1,827.71-438.21

Finding the Fourth Proportional to 1,218.36, 1,827.71 and 438.21

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Solution

The fourth proportional to 1,218.36, 1,827.71 and 438.21 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.36 : 1,827.71 = 438.21 : x
  2. Step 2: Convert to fraction form
    1,218.36/1,827.71 = 438.21/x
  3. Step 3: Cross multiply
    1,218.36x = 1,827.71 × 438.21
  4. Step 4: Simplify right side
    1,218.36x = 800,909.47
  5. Step 5: Solve for x
    x = 800,909.47/1,218.36
  6. Step 6: Final answer
    x = 657.37

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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.