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Finding the Fourth Proportional to 1,768.54, 2,440.64 and 971.94

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Solution

The fourth proportional to 1,768.54, 2,440.64 and 971.94 is: 1,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.54 : 2,440.64 = 971.94 : x
  2. Step 2: Convert to fraction form
    1,768.54/2,440.64 = 971.94/x
  3. Step 3: Cross multiply
    1,768.54x = 2,440.64 × 971.94
  4. Step 4: Simplify right side
    1,768.54x = 2,372,157.63
  5. Step 5: Solve for x
    x = 2,372,157.63/1,768.54
  6. Step 6: Final answer
    x = 1,341.31

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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.