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Finding the Fourth Proportional to 1,649.50, 2,276.31 and 950.92

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Solution

The fourth proportional to 1,649.50, 2,276.31 and 950.92 is: 1,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.50 : 2,276.31 = 950.92 : x
  2. Step 2: Convert to fraction form
    1,649.50/2,276.31 = 950.92/x
  3. Step 3: Cross multiply
    1,649.50x = 2,276.31 × 950.92
  4. Step 4: Simplify right side
    1,649.50x = 2,164,588.71
  5. Step 5: Solve for x
    x = 2,164,588.71/1,649.50
  6. Step 6: Final answer
    x = 1,312.27

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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.