Home / 1,218.50-1,827.68-976.57

Finding the Fourth Proportional to 1,218.50, 1,827.68 and 976.57

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Solution

The fourth proportional to 1,218.50, 1,827.68 and 976.57 is: 1,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.50 : 1,827.68 = 976.57 : x
  2. Step 2: Convert to fraction form
    1,218.50/1,827.68 = 976.57/x
  3. Step 3: Cross multiply
    1,218.50x = 1,827.68 × 976.57
  4. Step 4: Simplify right side
    1,218.50x = 1,784,855.33
  5. Step 5: Solve for x
    x = 1,784,855.33/1,218.50
  6. Step 6: Final answer
    x = 1,464.80

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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.