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Finding the Fourth Proportional to 1,792.40, 2,688.42 and 494.06

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Solution

The fourth proportional to 1,792.40, 2,688.42 and 494.06 is: 741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.40 : 2,688.42 = 494.06 : x
  2. Step 2: Convert to fraction form
    1,792.40/2,688.42 = 494.06/x
  3. Step 3: Cross multiply
    1,792.40x = 2,688.42 × 494.06
  4. Step 4: Simplify right side
    1,792.40x = 1,328,240.79
  5. Step 5: Solve for x
    x = 1,328,240.79/1,792.40
  6. Step 6: Final answer
    x = 741.04

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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.