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Finding the Fourth Proportional to 524.73, 789.98 and 434.82

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Solution

The fourth proportional to 524.73, 789.98 and 434.82 is: 654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.73 : 789.98 = 434.82 : x
  2. Step 2: Convert to fraction form
    524.73/789.98 = 434.82/x
  3. Step 3: Cross multiply
    524.73x = 789.98 × 434.82
  4. Step 4: Simplify right side
    524.73x = 343,499.10
  5. Step 5: Solve for x
    x = 343,499.10/524.73
  6. Step 6: Final answer
    x = 654.62

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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.