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Finding the Fourth Proportional to 557.79, 769.82 and 382.83

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Solution

The fourth proportional to 557.79, 769.82 and 382.83 is: 528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.79 : 769.82 = 382.83 : x
  2. Step 2: Convert to fraction form
    557.79/769.82 = 382.83/x
  3. Step 3: Cross multiply
    557.79x = 769.82 × 382.83
  4. Step 4: Simplify right side
    557.79x = 294,708.28
  5. Step 5: Solve for x
    x = 294,708.28/557.79
  6. Step 6: Final answer
    x = 528.35

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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.