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Finding the Fourth Proportional to 1,364.37, 2,046.42 and 390.48

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Solution

The fourth proportional to 1,364.37, 2,046.42 and 390.48 is: 585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.37 : 2,046.42 = 390.48 : x
  2. Step 2: Convert to fraction form
    1,364.37/2,046.42 = 390.48/x
  3. Step 3: Cross multiply
    1,364.37x = 2,046.42 × 390.48
  4. Step 4: Simplify right side
    1,364.37x = 799,086.08
  5. Step 5: Solve for x
    x = 799,086.08/1,364.37
  6. Step 6: Final answer
    x = 585.68

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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.