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Finding the Fourth Proportional to 1,681.92, 2,522.81 and 511.87

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Solution

The fourth proportional to 1,681.92, 2,522.81 and 511.87 is: 767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.92 : 2,522.81 = 511.87 : x
  2. Step 2: Convert to fraction form
    1,681.92/2,522.81 = 511.87/x
  3. Step 3: Cross multiply
    1,681.92x = 2,522.81 × 511.87
  4. Step 4: Simplify right side
    1,681.92x = 1,291,350.75
  5. Step 5: Solve for x
    x = 1,291,350.75/1,681.92
  6. Step 6: Final answer
    x = 767.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.