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Finding the Fourth Proportional to 1,382.25, 2,071.71 and 650.40

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Solution

The fourth proportional to 1,382.25, 2,071.71 and 650.40 is: 974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.25 : 2,071.71 = 650.40 : x
  2. Step 2: Convert to fraction form
    1,382.25/2,071.71 = 650.40/x
  3. Step 3: Cross multiply
    1,382.25x = 2,071.71 × 650.40
  4. Step 4: Simplify right side
    1,382.25x = 1,347,440.18
  5. Step 5: Solve for x
    x = 1,347,440.18/1,382.25
  6. Step 6: Final answer
    x = 974.82

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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.