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Finding the Fourth Proportional to 486.72, 732.56 and 365.60

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Solution

The fourth proportional to 486.72, 732.56 and 365.60 is: 550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.72 : 732.56 = 365.60 : x
  2. Step 2: Convert to fraction form
    486.72/732.56 = 365.60/x
  3. Step 3: Cross multiply
    486.72x = 732.56 × 365.60
  4. Step 4: Simplify right side
    486.72x = 267,823.94
  5. Step 5: Solve for x
    x = 267,823.94/486.72
  6. Step 6: Final answer
    x = 550.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.