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Finding the Fourth Proportional to 1,770.90, 2,443.68 and 974.06

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Solution

The fourth proportional to 1,770.90, 2,443.68 and 974.06 is: 1,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.90 : 2,443.68 = 974.06 : x
  2. Step 2: Convert to fraction form
    1,770.90/2,443.68 = 974.06/x
  3. Step 3: Cross multiply
    1,770.90x = 2,443.68 × 974.06
  4. Step 4: Simplify right side
    1,770.90x = 2,380,290.94
  5. Step 5: Solve for x
    x = 2,380,290.94/1,770.90
  6. Step 6: Final answer
    x = 1,344.11

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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.