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Finding the Fourth Proportional to 1,262.84, 1,893.78 and 441.02

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Solution

The fourth proportional to 1,262.84, 1,893.78 and 441.02 is: 661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.84 : 1,893.78 = 441.02 : x
  2. Step 2: Convert to fraction form
    1,262.84/1,893.78 = 441.02/x
  3. Step 3: Cross multiply
    1,262.84x = 1,893.78 × 441.02
  4. Step 4: Simplify right side
    1,262.84x = 835,194.86
  5. Step 5: Solve for x
    x = 835,194.86/1,262.84
  6. Step 6: Final answer
    x = 661.36

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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.