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Finding the Fourth Proportional to 818.94, 1,229.48 and 509.82

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Solution

The fourth proportional to 818.94, 1,229.48 and 509.82 is: 765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.94 : 1,229.48 = 509.82 : x
  2. Step 2: Convert to fraction form
    818.94/1,229.48 = 509.82/x
  3. Step 3: Cross multiply
    818.94x = 1,229.48 × 509.82
  4. Step 4: Simplify right side
    818.94x = 626,813.49
  5. Step 5: Solve for x
    x = 626,813.49/818.94
  6. Step 6: Final answer
    x = 765.40

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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.