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Finding the Fourth Proportional to 531.22, 795.90 and 511.24

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Solution

The fourth proportional to 531.22, 795.90 and 511.24 is: 765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.22 : 795.90 = 511.24 : x
  2. Step 2: Convert to fraction form
    531.22/795.90 = 511.24/x
  3. Step 3: Cross multiply
    531.22x = 795.90 × 511.24
  4. Step 4: Simplify right side
    531.22x = 406,895.92
  5. Step 5: Solve for x
    x = 406,895.92/531.22
  6. Step 6: Final answer
    x = 765.96

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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.