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Finding the Fourth Proportional to 1,648.69, 2,275.12 and 985.42

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Solution

The fourth proportional to 1,648.69, 2,275.12 and 985.42 is: 1,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.69 : 2,275.12 = 985.42 : x
  2. Step 2: Convert to fraction form
    1,648.69/2,275.12 = 985.42/x
  3. Step 3: Cross multiply
    1,648.69x = 2,275.12 × 985.42
  4. Step 4: Simplify right side
    1,648.69x = 2,241,940.03
  5. Step 5: Solve for x
    x = 2,241,940.03/1,648.69
  6. Step 6: Final answer
    x = 1,359.83

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