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Finding the Fourth Proportional to 1,281.36, 1,921.97 and 631.88

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Solution

The fourth proportional to 1,281.36, 1,921.97 and 631.88 is: 947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.36 : 1,921.97 = 631.88 : x
  2. Step 2: Convert to fraction form
    1,281.36/1,921.97 = 631.88/x
  3. Step 3: Cross multiply
    1,281.36x = 1,921.97 × 631.88
  4. Step 4: Simplify right side
    1,281.36x = 1,214,454.40
  5. Step 5: Solve for x
    x = 1,214,454.40/1,281.36
  6. Step 6: Final answer
    x = 947.79

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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.