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Finding the Fourth Proportional to 2,159, 3,238.32 and 620

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Solution

The fourth proportional to 2,159, 3,238.32 and 620 is: 929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159 : 3,238.32 = 620 : x
  2. Step 2: Convert to fraction form
    2,159/3,238.32 = 620/x
  3. Step 3: Cross multiply
    2,159x = 3,238.32 × 620
  4. Step 4: Simplify right side
    2,159x = 2,007,758.40
  5. Step 5: Solve for x
    x = 2,007,758.40/2,159
  6. Step 6: Final answer
    x = 929.95

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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.