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Finding the Fourth Proportional to 482.92, 719.49 and 457.96

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Solution

The fourth proportional to 482.92, 719.49 and 457.96 is: 682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.92 : 719.49 = 457.96 : x
  2. Step 2: Convert to fraction form
    482.92/719.49 = 457.96/x
  3. Step 3: Cross multiply
    482.92x = 719.49 × 457.96
  4. Step 4: Simplify right side
    482.92x = 329,497.64
  5. Step 5: Solve for x
    x = 329,497.64/482.92
  6. Step 6: Final answer
    x = 682.30

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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.