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Finding the Fourth Proportional to 486.34, 724.08 and 458.26

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Solution

The fourth proportional to 486.34, 724.08 and 458.26 is: 682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.34 : 724.08 = 458.26 : x
  2. Step 2: Convert to fraction form
    486.34/724.08 = 458.26/x
  3. Step 3: Cross multiply
    486.34x = 724.08 × 458.26
  4. Step 4: Simplify right side
    486.34x = 331,816.90
  5. Step 5: Solve for x
    x = 331,816.90/486.34
  6. Step 6: Final answer
    x = 682.27

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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.