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Finding the Fourth Proportional to 1,649.50, 2,276.32 and 903.46

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Solution

The fourth proportional to 1,649.50, 2,276.32 and 903.46 is: 1,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.50 : 2,276.32 = 903.46 : x
  2. Step 2: Convert to fraction form
    1,649.50/2,276.32 = 903.46/x
  3. Step 3: Cross multiply
    1,649.50x = 2,276.32 × 903.46
  4. Step 4: Simplify right side
    1,649.50x = 2,056,564.07
  5. Step 5: Solve for x
    x = 2,056,564.07/1,649.50
  6. Step 6: Final answer
    x = 1,246.78

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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.