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Finding the Fourth Proportional to 488.34, 727.34 and 485.99

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Solution

The fourth proportional to 488.34, 727.34 and 485.99 is: 723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.34 : 727.34 = 485.99 : x
  2. Step 2: Convert to fraction form
    488.34/727.34 = 485.99/x
  3. Step 3: Cross multiply
    488.34x = 727.34 × 485.99
  4. Step 4: Simplify right side
    488.34x = 353,477.54
  5. Step 5: Solve for x
    x = 353,477.54/488.34
  6. Step 6: Final answer
    x = 723.83

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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.