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Finding the Fourth Proportional to 531.16, 791.53 and 513.76

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Solution

The fourth proportional to 531.16, 791.53 and 513.76 is: 765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.16 : 791.53 = 513.76 : x
  2. Step 2: Convert to fraction form
    531.16/791.53 = 513.76/x
  3. Step 3: Cross multiply
    531.16x = 791.53 × 513.76
  4. Step 4: Simplify right side
    531.16x = 406,653.88
  5. Step 5: Solve for x
    x = 406,653.88/531.16
  6. Step 6: Final answer
    x = 765.60

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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.