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Finding the Fourth Proportional to 1,792.40, 2,688.69 and 493.82

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Solution

The fourth proportional to 1,792.40, 2,688.69 and 493.82 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.40 : 2,688.69 = 493.82 : x
  2. Step 2: Convert to fraction form
    1,792.40/2,688.69 = 493.82/x
  3. Step 3: Cross multiply
    1,792.40x = 2,688.69 × 493.82
  4. Step 4: Simplify right side
    1,792.40x = 1,327,728.90
  5. Step 5: Solve for x
    x = 1,327,728.90/1,792.40
  6. Step 6: Final answer
    x = 740.75

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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.