Home / 1,218.65-1,680.75-982.53

Finding the Fourth Proportional to 1,218.65, 1,680.75 and 982.53

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Solution

The fourth proportional to 1,218.65, 1,680.75 and 982.53 is: 1,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.65 : 1,680.75 = 982.53 : x
  2. Step 2: Convert to fraction form
    1,218.65/1,680.75 = 982.53/x
  3. Step 3: Cross multiply
    1,218.65x = 1,680.75 × 982.53
  4. Step 4: Simplify right side
    1,218.65x = 1,651,387.30
  5. Step 5: Solve for x
    x = 1,651,387.30/1,218.65
  6. Step 6: Final answer
    x = 1,355.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.