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Finding the Fourth Proportional to 1,203.04, 1,661.88 and 969.76

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Solution

The fourth proportional to 1,203.04, 1,661.88 and 969.76 is: 1,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.04 : 1,661.88 = 969.76 : x
  2. Step 2: Convert to fraction form
    1,203.04/1,661.88 = 969.76/x
  3. Step 3: Cross multiply
    1,203.04x = 1,661.88 × 969.76
  4. Step 4: Simplify right side
    1,203.04x = 1,611,624.75
  5. Step 5: Solve for x
    x = 1,611,624.75/1,203.04
  6. Step 6: Final answer
    x = 1,339.63

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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.