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Finding the Fourth Proportional to 818.52, 1,129.54 and 445.50

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Solution

The fourth proportional to 818.52, 1,129.54 and 445.50 is: 614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.52 : 1,129.54 = 445.50 : x
  2. Step 2: Convert to fraction form
    818.52/1,129.54 = 445.50/x
  3. Step 3: Cross multiply
    818.52x = 1,129.54 × 445.50
  4. Step 4: Simplify right side
    818.52x = 503,208.96
  5. Step 5: Solve for x
    x = 503,208.96/818.52
  6. Step 6: Final answer
    x = 614.78

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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.