Home / 1,154.37-1,731.54-423.66

Finding the Fourth Proportional to 1,154.37, 1,731.54 and 423.66

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Solution

The fourth proportional to 1,154.37, 1,731.54 and 423.66 is: 635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.37 : 1,731.54 = 423.66 : x
  2. Step 2: Convert to fraction form
    1,154.37/1,731.54 = 423.66/x
  3. Step 3: Cross multiply
    1,154.37x = 1,731.54 × 423.66
  4. Step 4: Simplify right side
    1,154.37x = 733,584.24
  5. Step 5: Solve for x
    x = 733,584.24/1,154.37
  6. Step 6: Final answer
    x = 635.48

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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.