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Finding the Fourth Proportional to 482.76, 725.28 and 475.20

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Solution

The fourth proportional to 482.76, 725.28 and 475.20 is: 713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.76 : 725.28 = 475.20 : x
  2. Step 2: Convert to fraction form
    482.76/725.28 = 475.20/x
  3. Step 3: Cross multiply
    482.76x = 725.28 × 475.20
  4. Step 4: Simplify right side
    482.76x = 344,653.06
  5. Step 5: Solve for x
    x = 344,653.06/482.76
  6. Step 6: Final answer
    x = 713.92

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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.