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Finding the Fourth Proportional to 1,365.43, 2,048.13 and 391.52

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Solution

The fourth proportional to 1,365.43, 2,048.13 and 391.52 is: 587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.43 : 2,048.13 = 391.52 : x
  2. Step 2: Convert to fraction form
    1,365.43/2,048.13 = 391.52/x
  3. Step 3: Cross multiply
    1,365.43x = 2,048.13 × 391.52
  4. Step 4: Simplify right side
    1,365.43x = 801,883.86
  5. Step 5: Solve for x
    x = 801,883.86/1,365.43
  6. Step 6: Final answer
    x = 587.28

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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.