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Finding the Fourth Proportional to 557.96, 835.68 and 519.98

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Solution

The fourth proportional to 557.96, 835.68 and 519.98 is: 778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 835.68 = 519.98 : x
  2. Step 2: Convert to fraction form
    557.96/835.68 = 519.98/x
  3. Step 3: Cross multiply
    557.96x = 835.68 × 519.98
  4. Step 4: Simplify right side
    557.96x = 434,536.89
  5. Step 5: Solve for x
    x = 434,536.89/557.96
  6. Step 6: Final answer
    x = 778.80

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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.