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Finding the Fourth Proportional to 1,137.44, 1,571.30 and 902.95

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Solution

The fourth proportional to 1,137.44, 1,571.30 and 902.95 is: 1,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.44 : 1,571.30 = 902.95 : x
  2. Step 2: Convert to fraction form
    1,137.44/1,571.30 = 902.95/x
  3. Step 3: Cross multiply
    1,137.44x = 1,571.30 × 902.95
  4. Step 4: Simplify right side
    1,137.44x = 1,418,800.28
  5. Step 5: Solve for x
    x = 1,418,800.28/1,137.44
  6. Step 6: Final answer
    x = 1,247.36

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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.