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Finding the Fourth Proportional to 1,953.96, 2,930.73 and 493.11

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Solution

The fourth proportional to 1,953.96, 2,930.73 and 493.11 is: 739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.96 : 2,930.73 = 493.11 : x
  2. Step 2: Convert to fraction form
    1,953.96/2,930.73 = 493.11/x
  3. Step 3: Cross multiply
    1,953.96x = 2,930.73 × 493.11
  4. Step 4: Simplify right side
    1,953.96x = 1,445,172.27
  5. Step 5: Solve for x
    x = 1,445,172.27/1,953.96
  6. Step 6: Final answer
    x = 739.61

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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.