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Finding the Fourth Proportional to 769.57, 1,062 and 420.25

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Solution

The fourth proportional to 769.57, 1,062 and 420.25 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.57 : 1,062 = 420.25 : x
  2. Step 2: Convert to fraction form
    769.57/1,062 = 420.25/x
  3. Step 3: Cross multiply
    769.57x = 1,062 × 420.25
  4. Step 4: Simplify right side
    769.57x = 446,305.50
  5. Step 5: Solve for x
    x = 446,305.50/769.57
  6. Step 6: Final answer
    x = 579.94

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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.