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Finding the Fourth Proportional to 486.48, 728.70 and 364.57

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Solution

The fourth proportional to 486.48, 728.70 and 364.57 is: 546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.48 : 728.70 = 364.57 : x
  2. Step 2: Convert to fraction form
    486.48/728.70 = 364.57/x
  3. Step 3: Cross multiply
    486.48x = 728.70 × 364.57
  4. Step 4: Simplify right side
    486.48x = 265,662.16
  5. Step 5: Solve for x
    x = 265,662.16/486.48
  6. Step 6: Final answer
    x = 546.09

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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.