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Finding the Fourth Proportional to 513.76, 765.16 and 511.20

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Solution

The fourth proportional to 513.76, 765.16 and 511.20 is: 761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.76 : 765.16 = 511.20 : x
  2. Step 2: Convert to fraction form
    513.76/765.16 = 511.20/x
  3. Step 3: Cross multiply
    513.76x = 765.16 × 511.20
  4. Step 4: Simplify right side
    513.76x = 391,149.79
  5. Step 5: Solve for x
    x = 391,149.79/513.76
  6. Step 6: Final answer
    x = 761.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.