Home / 1,110.57-1,664.94-461.15

Finding the Fourth Proportional to 1,110.57, 1,664.94 and 461.15

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Solution

The fourth proportional to 1,110.57, 1,664.94 and 461.15 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.57 : 1,664.94 = 461.15 : x
  2. Step 2: Convert to fraction form
    1,110.57/1,664.94 = 461.15/x
  3. Step 3: Cross multiply
    1,110.57x = 1,664.94 × 461.15
  4. Step 4: Simplify right side
    1,110.57x = 767,787.08
  5. Step 5: Solve for x
    x = 767,787.08/1,110.57
  6. Step 6: Final answer
    x = 691.35

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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.