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Finding the Fourth Proportional to 1,953.87, 2,930.77 and 492.99

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Solution

The fourth proportional to 1,953.87, 2,930.77 and 492.99 is: 739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.87 : 2,930.77 = 492.99 : x
  2. Step 2: Convert to fraction form
    1,953.87/2,930.77 = 492.99/x
  3. Step 3: Cross multiply
    1,953.87x = 2,930.77 × 492.99
  4. Step 4: Simplify right side
    1,953.87x = 1,444,840.30
  5. Step 5: Solve for x
    x = 1,444,840.30/1,953.87
  6. Step 6: Final answer
    x = 739.48

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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.