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Finding the Fourth Proportional to 1,649.19, 2,275.79 and 903

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Solution

The fourth proportional to 1,649.19, 2,275.79 and 903 is: 1,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.19 : 2,275.79 = 903 : x
  2. Step 2: Convert to fraction form
    1,649.19/2,275.79 = 903/x
  3. Step 3: Cross multiply
    1,649.19x = 2,275.79 × 903
  4. Step 4: Simplify right side
    1,649.19x = 2,055,033.86
  5. Step 5: Solve for x
    x = 2,055,033.86/1,649.19
  6. Step 6: Final answer
    x = 1,246.09

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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.