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Finding the Fourth Proportional to 482.31, 724.24 and 277.79

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Solution

The fourth proportional to 482.31, 724.24 and 277.79 is: 417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.31 : 724.24 = 277.79 : x
  2. Step 2: Convert to fraction form
    482.31/724.24 = 277.79/x
  3. Step 3: Cross multiply
    482.31x = 724.24 × 277.79
  4. Step 4: Simplify right side
    482.31x = 201,186.63
  5. Step 5: Solve for x
    x = 201,186.63/482.31
  6. Step 6: Final answer
    x = 417.13

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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.