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Finding the Fourth Proportional to 1,364.34, 2,046.36 and 486.81

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Solution

The fourth proportional to 1,364.34, 2,046.36 and 486.81 is: 730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.34 : 2,046.36 = 486.81 : x
  2. Step 2: Convert to fraction form
    1,364.34/2,046.36 = 486.81/x
  3. Step 3: Cross multiply
    1,364.34x = 2,046.36 × 486.81
  4. Step 4: Simplify right side
    1,364.34x = 996,190.34
  5. Step 5: Solve for x
    x = 996,190.34/1,364.34
  6. Step 6: Final answer
    x = 730.16

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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.