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Finding the Fourth Proportional to 1,209.95, 1,669.73 and 671.58

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Solution

The fourth proportional to 1,209.95, 1,669.73 and 671.58 is: 926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.95 : 1,669.73 = 671.58 : x
  2. Step 2: Convert to fraction form
    1,209.95/1,669.73 = 671.58/x
  3. Step 3: Cross multiply
    1,209.95x = 1,669.73 × 671.58
  4. Step 4: Simplify right side
    1,209.95x = 1,121,357.05
  5. Step 5: Solve for x
    x = 1,121,357.05/1,209.95
  6. Step 6: Final answer
    x = 926.78

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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.