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Finding the Fourth Proportional to 483.89, 728.56 and 426.47

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Solution

The fourth proportional to 483.89, 728.56 and 426.47 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.89 : 728.56 = 426.47 : x
  2. Step 2: Convert to fraction form
    483.89/728.56 = 426.47/x
  3. Step 3: Cross multiply
    483.89x = 728.56 × 426.47
  4. Step 4: Simplify right side
    483.89x = 310,709.74
  5. Step 5: Solve for x
    x = 310,709.74/483.89
  6. Step 6: Final answer
    x = 642.10

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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.