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Finding the Fourth Proportional to 1,812.84, 2,719.38 and 658.68

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Solution

The fourth proportional to 1,812.84, 2,719.38 and 658.68 is: 988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.84 : 2,719.38 = 658.68 : x
  2. Step 2: Convert to fraction form
    1,812.84/2,719.38 = 658.68/x
  3. Step 3: Cross multiply
    1,812.84x = 2,719.38 × 658.68
  4. Step 4: Simplify right side
    1,812.84x = 1,791,201.22
  5. Step 5: Solve for x
    x = 1,791,201.22/1,812.84
  6. Step 6: Final answer
    x = 988.06

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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.