Home / 1,431.14-2,146.67-457.30

Finding the Fourth Proportional to 1,431.14, 2,146.67 and 457.30

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Solution

The fourth proportional to 1,431.14, 2,146.67 and 457.30 is: 685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.14 : 2,146.67 = 457.30 : x
  2. Step 2: Convert to fraction form
    1,431.14/2,146.67 = 457.30/x
  3. Step 3: Cross multiply
    1,431.14x = 2,146.67 × 457.30
  4. Step 4: Simplify right side
    1,431.14x = 981,672.19
  5. Step 5: Solve for x
    x = 981,672.19/1,431.14
  6. Step 6: Final answer
    x = 685.94

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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.