Home / 1,381.27-2,072.07-457.45

Finding the Fourth Proportional to 1,381.27, 2,072.07 and 457.45

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Solution

The fourth proportional to 1,381.27, 2,072.07 and 457.45 is: 686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.27 : 2,072.07 = 457.45 : x
  2. Step 2: Convert to fraction form
    1,381.27/2,072.07 = 457.45/x
  3. Step 3: Cross multiply
    1,381.27x = 2,072.07 × 457.45
  4. Step 4: Simplify right side
    1,381.27x = 947,862.60
  5. Step 5: Solve for x
    x = 947,862.60/1,381.27
  6. Step 6: Final answer
    x = 686.23

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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.