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Finding the Fourth Proportional to 1,281.94, 1,921.53 and 665.49

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Solution

The fourth proportional to 1,281.94, 1,921.53 and 665.49 is: 997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.94 : 1,921.53 = 665.49 : x
  2. Step 2: Convert to fraction form
    1,281.94/1,921.53 = 665.49/x
  3. Step 3: Cross multiply
    1,281.94x = 1,921.53 × 665.49
  4. Step 4: Simplify right side
    1,281.94x = 1,278,759.00
  5. Step 5: Solve for x
    x = 1,278,759.00/1,281.94
  6. Step 6: Final answer
    x = 997.52

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1.5x scale

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.