Home / 1,216.30-1,823.76-436.26

Finding the Fourth Proportional to 1,216.30, 1,823.76 and 436.26

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Solution

The fourth proportional to 1,216.30, 1,823.76 and 436.26 is: 654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.30 : 1,823.76 = 436.26 : x
  2. Step 2: Convert to fraction form
    1,216.30/1,823.76 = 436.26/x
  3. Step 3: Cross multiply
    1,216.30x = 1,823.76 × 436.26
  4. Step 4: Simplify right side
    1,216.30x = 795,633.54
  5. Step 5: Solve for x
    x = 795,633.54/1,216.30
  6. Step 6: Final answer
    x = 654.14

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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.