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Finding the Fourth Proportional to 485.76, 731.88 and 439.54

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Solution

The fourth proportional to 485.76, 731.88 and 439.54 is: 662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.76 : 731.88 = 439.54 : x
  2. Step 2: Convert to fraction form
    485.76/731.88 = 439.54/x
  3. Step 3: Cross multiply
    485.76x = 731.88 × 439.54
  4. Step 4: Simplify right side
    485.76x = 321,690.54
  5. Step 5: Solve for x
    x = 321,690.54/485.76
  6. Step 6: Final answer
    x = 662.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.