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Finding the Fourth Proportional to 482.72, 719.20 and 458.24

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Solution

The fourth proportional to 482.72, 719.20 and 458.24 is: 682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.72 : 719.20 = 458.24 : x
  2. Step 2: Convert to fraction form
    482.72/719.20 = 458.24/x
  3. Step 3: Cross multiply
    482.72x = 719.20 × 458.24
  4. Step 4: Simplify right side
    482.72x = 329,566.21
  5. Step 5: Solve for x
    x = 329,566.21/482.72
  6. Step 6: Final answer
    x = 682.73

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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.