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Finding the Fourth Proportional to 483.15, 728.31 and 402.54

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Solution

The fourth proportional to 483.15, 728.31 and 402.54 is: 606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.15 : 728.31 = 402.54 : x
  2. Step 2: Convert to fraction form
    483.15/728.31 = 402.54/x
  3. Step 3: Cross multiply
    483.15x = 728.31 × 402.54
  4. Step 4: Simplify right side
    483.15x = 293,173.91
  5. Step 5: Solve for x
    x = 293,173.91/483.15
  6. Step 6: Final answer
    x = 606.80

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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.