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Finding the Fourth Proportional to 1,209.94, 1,669.22 and 877.63

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Solution

The fourth proportional to 1,209.94, 1,669.22 and 877.63 is: 1,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.94 : 1,669.22 = 877.63 : x
  2. Step 2: Convert to fraction form
    1,209.94/1,669.22 = 877.63/x
  3. Step 3: Cross multiply
    1,209.94x = 1,669.22 × 877.63
  4. Step 4: Simplify right side
    1,209.94x = 1,464,963.92
  5. Step 5: Solve for x
    x = 1,464,963.92/1,209.94
  6. Step 6: Final answer
    x = 1,210.78

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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.