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Finding the Fourth Proportional to 2,263.16, 3,394.76 and 619.68

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Solution

The fourth proportional to 2,263.16, 3,394.76 and 619.68 is: 929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.16 : 3,394.76 = 619.68 : x
  2. Step 2: Convert to fraction form
    2,263.16/3,394.76 = 619.68/x
  3. Step 3: Cross multiply
    2,263.16x = 3,394.76 × 619.68
  4. Step 4: Simplify right side
    2,263.16x = 2,103,664.88
  5. Step 5: Solve for x
    x = 2,103,664.88/2,263.16
  6. Step 6: Final answer
    x = 929.53

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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.