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Finding the Fourth Proportional to 640.48, 961.20 and 513.76

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Solution

The fourth proportional to 640.48, 961.20 and 513.76 is: 771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.48 : 961.20 = 513.76 : x
  2. Step 2: Convert to fraction form
    640.48/961.20 = 513.76/x
  3. Step 3: Cross multiply
    640.48x = 961.20 × 513.76
  4. Step 4: Simplify right side
    640.48x = 493,826.11
  5. Step 5: Solve for x
    x = 493,826.11/640.48
  6. Step 6: Final answer
    x = 771.03

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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.