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Finding the Fourth Proportional to 1,955.63, 2,933.45 and 494.78

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Solution

The fourth proportional to 1,955.63, 2,933.45 and 494.78 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.63 : 2,933.45 = 494.78 : x
  2. Step 2: Convert to fraction form
    1,955.63/2,933.45 = 494.78/x
  3. Step 3: Cross multiply
    1,955.63x = 2,933.45 × 494.78
  4. Step 4: Simplify right side
    1,955.63x = 1,451,421.86
  5. Step 5: Solve for x
    x = 1,451,421.86/1,955.63
  6. Step 6: Final answer
    x = 742.18

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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.