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Finding the Fourth Proportional to 485.76, 723.84 and 456.96

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Solution

The fourth proportional to 485.76, 723.84 and 456.96 is: 680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.76 : 723.84 = 456.96 : x
  2. Step 2: Convert to fraction form
    485.76/723.84 = 456.96/x
  3. Step 3: Cross multiply
    485.76x = 723.84 × 456.96
  4. Step 4: Simplify right side
    485.76x = 330,765.93
  5. Step 5: Solve for x
    x = 330,765.93/485.76
  6. Step 6: Final answer
    x = 680.92

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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.