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Finding the Fourth Proportional to 482.50, 725.35 and 446.86

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Solution

The fourth proportional to 482.50, 725.35 and 446.86 is: 671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.50 : 725.35 = 446.86 : x
  2. Step 2: Convert to fraction form
    482.50/725.35 = 446.86/x
  3. Step 3: Cross multiply
    482.50x = 725.35 × 446.86
  4. Step 4: Simplify right side
    482.50x = 324,129.90
  5. Step 5: Solve for x
    x = 324,129.90/482.50
  6. Step 6: Final answer
    x = 671.77

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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.