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Finding the Fourth Proportional to 1,792.34, 2,686.07 and 816.29

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Solution

The fourth proportional to 1,792.34, 2,686.07 and 816.29 is: 1,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.34 : 2,686.07 = 816.29 : x
  2. Step 2: Convert to fraction form
    1,792.34/2,686.07 = 816.29/x
  3. Step 3: Cross multiply
    1,792.34x = 2,686.07 × 816.29
  4. Step 4: Simplify right side
    1,792.34x = 2,192,600.69
  5. Step 5: Solve for x
    x = 2,192,600.69/1,792.34
  6. Step 6: Final answer
    x = 1,223.32

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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.