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Finding the Fourth Proportional to 1,222.76, 1,835.96 and 493.76

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Solution

The fourth proportional to 1,222.76, 1,835.96 and 493.76 is: 741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.76 : 1,835.96 = 493.76 : x
  2. Step 2: Convert to fraction form
    1,222.76/1,835.96 = 493.76/x
  3. Step 3: Cross multiply
    1,222.76x = 1,835.96 × 493.76
  4. Step 4: Simplify right side
    1,222.76x = 906,523.61
  5. Step 5: Solve for x
    x = 906,523.61/1,222.76
  6. Step 6: Final answer
    x = 741.37

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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.