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Finding the Fourth Proportional to 1,649.63, 2,276.30 and 941.63

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Solution

The fourth proportional to 1,649.63, 2,276.30 and 941.63 is: 1,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.63 : 2,276.30 = 941.63 : x
  2. Step 2: Convert to fraction form
    1,649.63/2,276.30 = 941.63/x
  3. Step 3: Cross multiply
    1,649.63x = 2,276.30 × 941.63
  4. Step 4: Simplify right side
    1,649.63x = 2,143,423.34
  5. Step 5: Solve for x
    x = 2,143,423.34/1,649.63
  6. Step 6: Final answer
    x = 1,299.33

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Double scale
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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.