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Finding the Fourth Proportional to 1,640.41, 2,262.64 and 976.75

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Solution

The fourth proportional to 1,640.41, 2,262.64 and 976.75 is: 1,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.41 : 2,262.64 = 976.75 : x
  2. Step 2: Convert to fraction form
    1,640.41/2,262.64 = 976.75/x
  3. Step 3: Cross multiply
    1,640.41x = 2,262.64 × 976.75
  4. Step 4: Simplify right side
    1,640.41x = 2,210,033.62
  5. Step 5: Solve for x
    x = 2,210,033.62/1,640.41
  6. Step 6: Final answer
    x = 1,347.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.