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Finding the Fourth Proportional to 1,140.33, 1,711.32 and 409.98

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Solution

The fourth proportional to 1,140.33, 1,711.32 and 409.98 is: 615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.33 : 1,711.32 = 409.98 : x
  2. Step 2: Convert to fraction form
    1,140.33/1,711.32 = 409.98/x
  3. Step 3: Cross multiply
    1,140.33x = 1,711.32 × 409.98
  4. Step 4: Simplify right side
    1,140.33x = 701,606.97
  5. Step 5: Solve for x
    x = 701,606.97/1,140.33
  6. Step 6: Final answer
    x = 615.27

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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.