Home / 1,116.02-1,674.74-786.76

Finding the Fourth Proportional to 1,116.02, 1,674.74 and 786.76

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Solution

The fourth proportional to 1,116.02, 1,674.74 and 786.76 is: 1,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.02 : 1,674.74 = 786.76 : x
  2. Step 2: Convert to fraction form
    1,116.02/1,674.74 = 786.76/x
  3. Step 3: Cross multiply
    1,116.02x = 1,674.74 × 786.76
  4. Step 4: Simplify right side
    1,116.02x = 1,317,618.44
  5. Step 5: Solve for x
    x = 1,317,618.44/1,116.02
  6. Step 6: Final answer
    x = 1,180.64

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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.