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Finding the Fourth Proportional to 818.82, 1,129.77 and 557.10

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Solution

The fourth proportional to 818.82, 1,129.77 and 557.10 is: 768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.82 : 1,129.77 = 557.10 : x
  2. Step 2: Convert to fraction form
    818.82/1,129.77 = 557.10/x
  3. Step 3: Cross multiply
    818.82x = 1,129.77 × 557.10
  4. Step 4: Simplify right side
    818.82x = 629,394.87
  5. Step 5: Solve for x
    x = 629,394.87/818.82
  6. Step 6: Final answer
    x = 768.66

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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.