Home / 1,364.28-2,046.60-816.36

Finding the Fourth Proportional to 1,364.28, 2,046.60 and 816.36

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Solution

The fourth proportional to 1,364.28, 2,046.60 and 816.36 is: 1,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.28 : 2,046.60 = 816.36 : x
  2. Step 2: Convert to fraction form
    1,364.28/2,046.60 = 816.36/x
  3. Step 3: Cross multiply
    1,364.28x = 2,046.60 × 816.36
  4. Step 4: Simplify right side
    1,364.28x = 1,670,762.38
  5. Step 5: Solve for x
    x = 1,670,762.38/1,364.28
  6. Step 6: Final answer
    x = 1,224.65

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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.