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Finding the Fourth Proportional to 486.56, 732.72 and 438.38

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Solution

The fourth proportional to 486.56, 732.72 and 438.38 is: 660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.56 : 732.72 = 438.38 : x
  2. Step 2: Convert to fraction form
    486.56/732.72 = 438.38/x
  3. Step 3: Cross multiply
    486.56x = 732.72 × 438.38
  4. Step 4: Simplify right side
    486.56x = 321,206.13
  5. Step 5: Solve for x
    x = 321,206.13/486.56
  6. Step 6: Final answer
    x = 660.16

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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.