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Finding the Fourth Proportional to 1,768.79, 2,440.53 and 1,022.73

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Solution

The fourth proportional to 1,768.79, 2,440.53 and 1,022.73 is: 1,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.79 : 2,440.53 = 1,022.73 : x
  2. Step 2: Convert to fraction form
    1,768.79/2,440.53 = 1,022.73/x
  3. Step 3: Cross multiply
    1,768.79x = 2,440.53 × 1,022.73
  4. Step 4: Simplify right side
    1,768.79x = 2,495,994.09
  5. Step 5: Solve for x
    x = 2,495,994.09/1,768.79
  6. Step 6: Final answer
    x = 1,411.13

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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.