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Finding the Fourth Proportional to 1,124.21, 1,684.49 and 661.29

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Solution

The fourth proportional to 1,124.21, 1,684.49 and 661.29 is: 990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.21 : 1,684.49 = 661.29 : x
  2. Step 2: Convert to fraction form
    1,124.21/1,684.49 = 661.29/x
  3. Step 3: Cross multiply
    1,124.21x = 1,684.49 × 661.29
  4. Step 4: Simplify right side
    1,124.21x = 1,113,933.09
  5. Step 5: Solve for x
    x = 1,113,933.09/1,124.21
  6. Step 6: Final answer
    x = 990.86

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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.