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Finding the Fourth Proportional to 482.64, 720.71 and 396.15

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Solution

The fourth proportional to 482.64, 720.71 and 396.15 is: 591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.64 : 720.71 = 396.15 : x
  2. Step 2: Convert to fraction form
    482.64/720.71 = 396.15/x
  3. Step 3: Cross multiply
    482.64x = 720.71 × 396.15
  4. Step 4: Simplify right side
    482.64x = 285,507.29
  5. Step 5: Solve for x
    x = 285,507.29/482.64
  6. Step 6: Final answer
    x = 591.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.