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Finding the Fourth Proportional to 2,262.94, 3,394.25 and 619.50

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Solution

The fourth proportional to 2,262.94, 3,394.25 and 619.50 is: 929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.94 : 3,394.25 = 619.50 : x
  2. Step 2: Convert to fraction form
    2,262.94/3,394.25 = 619.50/x
  3. Step 3: Cross multiply
    2,262.94x = 3,394.25 × 619.50
  4. Step 4: Simplify right side
    2,262.94x = 2,102,734.22
  5. Step 5: Solve for x
    x = 2,102,734.22/2,262.94
  6. Step 6: Final answer
    x = 929.21

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1.5x scale

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.