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Finding the Fourth Proportional to 485.73, 723.60 and 463.59

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Solution

The fourth proportional to 485.73, 723.60 and 463.59 is: 690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.73 : 723.60 = 463.59 : x
  2. Step 2: Convert to fraction form
    485.73/723.60 = 463.59/x
  3. Step 3: Cross multiply
    485.73x = 723.60 × 463.59
  4. Step 4: Simplify right side
    485.73x = 335,453.72
  5. Step 5: Solve for x
    x = 335,453.72/485.73
  6. Step 6: Final answer
    x = 690.62

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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.