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Finding the Fourth Proportional to 1,365.53, 2,048.52 and 440.97

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Solution

The fourth proportional to 1,365.53, 2,048.52 and 440.97 is: 661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.53 : 2,048.52 = 440.97 : x
  2. Step 2: Convert to fraction form
    1,365.53/2,048.52 = 440.97/x
  3. Step 3: Cross multiply
    1,365.53x = 2,048.52 × 440.97
  4. Step 4: Simplify right side
    1,365.53x = 903,335.86
  5. Step 5: Solve for x
    x = 903,335.86/1,365.53
  6. Step 6: Final answer
    x = 661.53

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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.