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Finding the Fourth Proportional to 557.80, 835.39 and 442.31

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Solution

The fourth proportional to 557.80, 835.39 and 442.31 is: 662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.80 : 835.39 = 442.31 : x
  2. Step 2: Convert to fraction form
    557.80/835.39 = 442.31/x
  3. Step 3: Cross multiply
    557.80x = 835.39 × 442.31
  4. Step 4: Simplify right side
    557.80x = 369,499.94
  5. Step 5: Solve for x
    x = 369,499.94/557.80
  6. Step 6: Final answer
    x = 662.43

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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.