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Finding the Fourth Proportional to 1,548.31, 2,322.77 and 682.63

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Solution

The fourth proportional to 1,548.31, 2,322.77 and 682.63 is: 1,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.31 : 2,322.77 = 682.63 : x
  2. Step 2: Convert to fraction form
    1,548.31/2,322.77 = 682.63/x
  3. Step 3: Cross multiply
    1,548.31x = 2,322.77 × 682.63
  4. Step 4: Simplify right side
    1,548.31x = 1,585,592.49
  5. Step 5: Solve for x
    x = 1,585,592.49/1,548.31
  6. Step 6: Final answer
    x = 1,024.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.