Home / 1,288.41-1,932.12-595.44

Finding the Fourth Proportional to 1,288.41, 1,932.12 and 595.44

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Solution

The fourth proportional to 1,288.41, 1,932.12 and 595.44 is: 892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.41 : 1,932.12 = 595.44 : x
  2. Step 2: Convert to fraction form
    1,288.41/1,932.12 = 595.44/x
  3. Step 3: Cross multiply
    1,288.41x = 1,932.12 × 595.44
  4. Step 4: Simplify right side
    1,288.41x = 1,150,461.53
  5. Step 5: Solve for x
    x = 1,150,461.53/1,288.41
  6. Step 6: Final answer
    x = 892.93

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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.