Home / 1,447.38-2,170.90-407.46

Finding the Fourth Proportional to 1,447.38, 2,170.90 and 407.46

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Solution

The fourth proportional to 1,447.38, 2,170.90 and 407.46 is: 611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.38 : 2,170.90 = 407.46 : x
  2. Step 2: Convert to fraction form
    1,447.38/2,170.90 = 407.46/x
  3. Step 3: Cross multiply
    1,447.38x = 2,170.90 × 407.46
  4. Step 4: Simplify right side
    1,447.38x = 884,554.91
  5. Step 5: Solve for x
    x = 884,554.91/1,447.38
  6. Step 6: Final answer
    x = 611.14

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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.