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Finding the Fourth Proportional to 1,382.71, 2,074.57 and 652.11

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Solution

The fourth proportional to 1,382.71, 2,074.57 and 652.11 is: 978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.71 : 2,074.57 = 652.11 : x
  2. Step 2: Convert to fraction form
    1,382.71/2,074.57 = 652.11/x
  3. Step 3: Cross multiply
    1,382.71x = 2,074.57 × 652.11
  4. Step 4: Simplify right side
    1,382.71x = 1,352,857.60
  5. Step 5: Solve for x
    x = 1,352,857.60/1,382.71
  6. Step 6: Final answer
    x = 978.41

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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.