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Finding the Fourth Proportional to 1,049.68, 1,447.16 and 903.88

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Solution

The fourth proportional to 1,049.68, 1,447.16 and 903.88 is: 1,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.68 : 1,447.16 = 903.88 : x
  2. Step 2: Convert to fraction form
    1,049.68/1,447.16 = 903.88/x
  3. Step 3: Cross multiply
    1,049.68x = 1,447.16 × 903.88
  4. Step 4: Simplify right side
    1,049.68x = 1,308,058.98
  5. Step 5: Solve for x
    x = 1,308,058.98/1,049.68
  6. Step 6: Final answer
    x = 1,246.15

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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.