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Finding the Fourth Proportional to 557.05, 834.62 and 369.31

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Solution

The fourth proportional to 557.05, 834.62 and 369.31 is: 553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.05 : 834.62 = 369.31 : x
  2. Step 2: Convert to fraction form
    557.05/834.62 = 369.31/x
  3. Step 3: Cross multiply
    557.05x = 834.62 × 369.31
  4. Step 4: Simplify right side
    557.05x = 308,232.71
  5. Step 5: Solve for x
    x = 308,232.71/557.05
  6. Step 6: Final answer
    x = 553.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.