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Finding the Fourth Proportional to 557.82, 835.34 and 351.77

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Solution

The fourth proportional to 557.82, 835.34 and 351.77 is: 526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.82 : 835.34 = 351.77 : x
  2. Step 2: Convert to fraction form
    557.82/835.34 = 351.77/x
  3. Step 3: Cross multiply
    557.82x = 835.34 × 351.77
  4. Step 4: Simplify right side
    557.82x = 293,841.62
  5. Step 5: Solve for x
    x = 293,841.62/557.82
  6. Step 6: Final answer
    x = 526.77

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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.