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Finding the Fourth Proportional to 1,280.66, 1,921.71 and 550.58

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Solution

The fourth proportional to 1,280.66, 1,921.71 and 550.58 is: 826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.66 : 1,921.71 = 550.58 : x
  2. Step 2: Convert to fraction form
    1,280.66/1,921.71 = 550.58/x
  3. Step 3: Cross multiply
    1,280.66x = 1,921.71 × 550.58
  4. Step 4: Simplify right side
    1,280.66x = 1,058,055.09
  5. Step 5: Solve for x
    x = 1,058,055.09/1,280.66
  6. Step 6: Final answer
    x = 826.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.