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Finding the Fourth Proportional to 1,124.21, 1,551.50 and 682.05

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Solution

The fourth proportional to 1,124.21, 1,551.50 and 682.05 is: 941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.21 : 1,551.50 = 682.05 : x
  2. Step 2: Convert to fraction form
    1,124.21/1,551.50 = 682.05/x
  3. Step 3: Cross multiply
    1,124.21x = 1,551.50 × 682.05
  4. Step 4: Simplify right side
    1,124.21x = 1,058,209.38
  5. Step 5: Solve for x
    x = 1,058,209.38/1,124.21
  6. Step 6: Final answer
    x = 941.29

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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.