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Finding the Fourth Proportional to 485.56, 723.88 and 457.96

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Solution

The fourth proportional to 485.56, 723.88 and 457.96 is: 682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.56 : 723.88 = 457.96 : x
  2. Step 2: Convert to fraction form
    485.56/723.88 = 457.96/x
  3. Step 3: Cross multiply
    485.56x = 723.88 × 457.96
  4. Step 4: Simplify right side
    485.56x = 331,508.08
  5. Step 5: Solve for x
    x = 331,508.08/485.56
  6. Step 6: Final answer
    x = 682.73

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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.