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Finding the Fourth Proportional to 513.84, 771.24 and 501.96

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Solution

The fourth proportional to 513.84, 771.24 and 501.96 is: 753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.84 : 771.24 = 501.96 : x
  2. Step 2: Convert to fraction form
    513.84/771.24 = 501.96/x
  3. Step 3: Cross multiply
    513.84x = 771.24 × 501.96
  4. Step 4: Simplify right side
    513.84x = 387,131.63
  5. Step 5: Solve for x
    x = 387,131.63/513.84
  6. Step 6: Final answer
    x = 753.41

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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.