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Finding the Fourth Proportional to 514.24, 765.53 and 511.49

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Solution

The fourth proportional to 514.24, 765.53 and 511.49 is: 761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.24 : 765.53 = 511.49 : x
  2. Step 2: Convert to fraction form
    514.24/765.53 = 511.49/x
  3. Step 3: Cross multiply
    514.24x = 765.53 × 511.49
  4. Step 4: Simplify right side
    514.24x = 391,560.94
  5. Step 5: Solve for x
    x = 391,560.94/514.24
  6. Step 6: Final answer
    x = 761.44

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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.