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Finding the Fourth Proportional to 1,759.98, 2,428.81 and 974.06

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Solution

The fourth proportional to 1,759.98, 2,428.81 and 974.06 is: 1,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.98 : 2,428.81 = 974.06 : x
  2. Step 2: Convert to fraction form
    1,759.98/2,428.81 = 974.06/x
  3. Step 3: Cross multiply
    1,759.98x = 2,428.81 × 974.06
  4. Step 4: Simplify right side
    1,759.98x = 2,365,806.67
  5. Step 5: Solve for x
    x = 2,365,806.67/1,759.98
  6. Step 6: Final answer
    x = 1,344.22

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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.