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Finding the Fourth Proportional to 557.73, 769.45 and 358.53

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Solution

The fourth proportional to 557.73, 769.45 and 358.53 is: 494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.73 : 769.45 = 358.53 : x
  2. Step 2: Convert to fraction form
    557.73/769.45 = 358.53/x
  3. Step 3: Cross multiply
    557.73x = 769.45 × 358.53
  4. Step 4: Simplify right side
    557.73x = 275,873.54
  5. Step 5: Solve for x
    x = 275,873.54/557.73
  6. Step 6: Final answer
    x = 494.64

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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.