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Finding the Fourth Proportional to 480.16, 663 and 386.61

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Solution

The fourth proportional to 480.16, 663 and 386.61 is: 533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.16 : 663 = 386.61 : x
  2. Step 2: Convert to fraction form
    480.16/663 = 386.61/x
  3. Step 3: Cross multiply
    480.16x = 663 × 386.61
  4. Step 4: Simplify right side
    480.16x = 256,322.43
  5. Step 5: Solve for x
    x = 256,322.43/480.16
  6. Step 6: Final answer
    x = 533.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.