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Finding the Fourth Proportional to 1,446.69, 1,996.70 and 974.58

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Solution

The fourth proportional to 1,446.69, 1,996.70 and 974.58 is: 1,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.69 : 1,996.70 = 974.58 : x
  2. Step 2: Convert to fraction form
    1,446.69/1,996.70 = 974.58/x
  3. Step 3: Cross multiply
    1,446.69x = 1,996.70 × 974.58
  4. Step 4: Simplify right side
    1,446.69x = 1,945,948.24
  5. Step 5: Solve for x
    x = 1,945,948.24/1,446.69
  6. Step 6: Final answer
    x = 1,345.11

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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.