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Finding the Fourth Proportional to 557.89, 769.26 and 506.05

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Solution

The fourth proportional to 557.89, 769.26 and 506.05 is: 697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.89 : 769.26 = 506.05 : x
  2. Step 2: Convert to fraction form
    557.89/769.26 = 506.05/x
  3. Step 3: Cross multiply
    557.89x = 769.26 × 506.05
  4. Step 4: Simplify right side
    557.89x = 389,284.02
  5. Step 5: Solve for x
    x = 389,284.02/557.89
  6. Step 6: Final answer
    x = 697.78

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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.