Home / 1,447.45-2,170.85-407.57

Finding the Fourth Proportional to 1,447.45, 2,170.85 and 407.57

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Solution

The fourth proportional to 1,447.45, 2,170.85 and 407.57 is: 611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.45 : 2,170.85 = 407.57 : x
  2. Step 2: Convert to fraction form
    1,447.45/2,170.85 = 407.57/x
  3. Step 3: Cross multiply
    1,447.45x = 2,170.85 × 407.57
  4. Step 4: Simplify right side
    1,447.45x = 884,762.73
  5. Step 5: Solve for x
    x = 884,762.73/1,447.45
  6. Step 6: Final answer
    x = 611.25

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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.