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Finding the Fourth Proportional to 531.72, 793.05 and 522.49

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Solution

The fourth proportional to 531.72, 793.05 and 522.49 is: 779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.72 : 793.05 = 522.49 : x
  2. Step 2: Convert to fraction form
    531.72/793.05 = 522.49/x
  3. Step 3: Cross multiply
    531.72x = 793.05 × 522.49
  4. Step 4: Simplify right side
    531.72x = 414,360.69
  5. Step 5: Solve for x
    x = 414,360.69/531.72
  6. Step 6: Final answer
    x = 779.28

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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.