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Finding the Fourth Proportional to 1,678.67, 2,316.52 and 980

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Solution

The fourth proportional to 1,678.67, 2,316.52 and 980 is: 1,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.67 : 2,316.52 = 980 : x
  2. Step 2: Convert to fraction form
    1,678.67/2,316.52 = 980/x
  3. Step 3: Cross multiply
    1,678.67x = 2,316.52 × 980
  4. Step 4: Simplify right side
    1,678.67x = 2,270,189.60
  5. Step 5: Solve for x
    x = 2,270,189.60/1,678.67
  6. Step 6: Final answer
    x = 1,352.37

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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.