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Finding the Fourth Proportional to 1,281.97, 1,921.35 and 550.69

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Solution

The fourth proportional to 1,281.97, 1,921.35 and 550.69 is: 825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.97 : 1,921.35 = 550.69 : x
  2. Step 2: Convert to fraction form
    1,281.97/1,921.35 = 550.69/x
  3. Step 3: Cross multiply
    1,281.97x = 1,921.35 × 550.69
  4. Step 4: Simplify right side
    1,281.97x = 1,058,068.23
  5. Step 5: Solve for x
    x = 1,058,068.23/1,281.97
  6. Step 6: Final answer
    x = 825.35

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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.