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Finding the Fourth Proportional to 1,812.79, 2,718.50 and 773.29

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Solution

The fourth proportional to 1,812.79, 2,718.50 and 773.29 is: 1,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.79 : 2,718.50 = 773.29 : x
  2. Step 2: Convert to fraction form
    1,812.79/2,718.50 = 773.29/x
  3. Step 3: Cross multiply
    1,812.79x = 2,718.50 × 773.29
  4. Step 4: Simplify right side
    1,812.79x = 2,102,171.41
  5. Step 5: Solve for x
    x = 2,102,171.41/1,812.79
  6. Step 6: Final answer
    x = 1,159.64

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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.