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Finding the Fourth Proportional to 482.88, 724.68 and 277.56

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Solution

The fourth proportional to 482.88, 724.68 and 277.56 is: 416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.88 : 724.68 = 277.56 : x
  2. Step 2: Convert to fraction form
    482.88/724.68 = 277.56/x
  3. Step 3: Cross multiply
    482.88x = 724.68 × 277.56
  4. Step 4: Simplify right side
    482.88x = 201,142.18
  5. Step 5: Solve for x
    x = 201,142.18/482.88
  6. Step 6: Final answer
    x = 416.55

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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.