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Finding the Fourth Proportional to 513.92, 771.76 and 488.40

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Solution

The fourth proportional to 513.92, 771.76 and 488.40 is: 733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 771.76 = 488.40 : x
  2. Step 2: Convert to fraction form
    513.92/771.76 = 488.40/x
  3. Step 3: Cross multiply
    513.92x = 771.76 × 488.40
  4. Step 4: Simplify right side
    513.92x = 376,927.58
  5. Step 5: Solve for x
    x = 376,927.58/513.92
  6. Step 6: Final answer
    x = 733.44

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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.