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Finding the Fourth Proportional to 1,119.69, 1,678.32 and 982.40

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Solution

The fourth proportional to 1,119.69, 1,678.32 and 982.40 is: 1,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.69 : 1,678.32 = 982.40 : x
  2. Step 2: Convert to fraction form
    1,119.69/1,678.32 = 982.40/x
  3. Step 3: Cross multiply
    1,119.69x = 1,678.32 × 982.40
  4. Step 4: Simplify right side
    1,119.69x = 1,648,773.18
  5. Step 5: Solve for x
    x = 1,648,773.18/1,119.69
  6. Step 6: Final answer
    x = 1,472.53

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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.