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Finding the Fourth Proportional to 1,212.64, 1,672.95 and 880.34

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Solution

The fourth proportional to 1,212.64, 1,672.95 and 880.34 is: 1,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.64 : 1,672.95 = 880.34 : x
  2. Step 2: Convert to fraction form
    1,212.64/1,672.95 = 880.34/x
  3. Step 3: Cross multiply
    1,212.64x = 1,672.95 × 880.34
  4. Step 4: Simplify right side
    1,212.64x = 1,472,759.74
  5. Step 5: Solve for x
    x = 1,472,759.74/1,212.64
  6. Step 6: Final answer
    x = 1,214.51

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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.