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Finding the Fourth Proportional to 1,395.70, 2,093.57 and 355.71

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Solution

The fourth proportional to 1,395.70, 2,093.57 and 355.71 is: 533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.70 : 2,093.57 = 355.71 : x
  2. Step 2: Convert to fraction form
    1,395.70/2,093.57 = 355.71/x
  3. Step 3: Cross multiply
    1,395.70x = 2,093.57 × 355.71
  4. Step 4: Simplify right side
    1,395.70x = 744,691.54
  5. Step 5: Solve for x
    x = 744,691.54/1,395.70
  6. Step 6: Final answer
    x = 533.56

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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.