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Finding the Fourth Proportional to 1,395.21, 2,092.28 and 457.94

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Solution

The fourth proportional to 1,395.21, 2,092.28 and 457.94 is: 686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.21 : 2,092.28 = 457.94 : x
  2. Step 2: Convert to fraction form
    1,395.21/2,092.28 = 457.94/x
  3. Step 3: Cross multiply
    1,395.21x = 2,092.28 × 457.94
  4. Step 4: Simplify right side
    1,395.21x = 958,138.70
  5. Step 5: Solve for x
    x = 958,138.70/1,395.21
  6. Step 6: Final answer
    x = 686.73

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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.