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Finding the Fourth Proportional to 572.62, 789.60 and 498.28

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Solution

The fourth proportional to 572.62, 789.60 and 498.28 is: 687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.62 : 789.60 = 498.28 : x
  2. Step 2: Convert to fraction form
    572.62/789.60 = 498.28/x
  3. Step 3: Cross multiply
    572.62x = 789.60 × 498.28
  4. Step 4: Simplify right side
    572.62x = 393,441.89
  5. Step 5: Solve for x
    x = 393,441.89/572.62
  6. Step 6: Final answer
    x = 687.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.