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Finding the Fourth Proportional to 1,792.06, 2,688.09 and 493.72

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Solution

The fourth proportional to 1,792.06, 2,688.09 and 493.72 is: 740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.06 : 2,688.09 = 493.72 : x
  2. Step 2: Convert to fraction form
    1,792.06/2,688.09 = 493.72/x
  3. Step 3: Cross multiply
    1,792.06x = 2,688.09 × 493.72
  4. Step 4: Simplify right side
    1,792.06x = 1,327,163.79
  5. Step 5: Solve for x
    x = 1,327,163.79/1,792.06
  6. Step 6: Final answer
    x = 740.58

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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.