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Finding the Fourth Proportional to 484.50, 724.86 and 480.99

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Solution

The fourth proportional to 484.50, 724.86 and 480.99 is: 719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.50 : 724.86 = 480.99 : x
  2. Step 2: Convert to fraction form
    484.50/724.86 = 480.99/x
  3. Step 3: Cross multiply
    484.50x = 724.86 × 480.99
  4. Step 4: Simplify right side
    484.50x = 348,650.41
  5. Step 5: Solve for x
    x = 348,650.41/484.50
  6. Step 6: Final answer
    x = 719.61

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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.