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Finding the Fourth Proportional to 531.36, 736.68 and 520.80

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Solution

The fourth proportional to 531.36, 736.68 and 520.80 is: 722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.36 : 736.68 = 520.80 : x
  2. Step 2: Convert to fraction form
    531.36/736.68 = 520.80/x
  3. Step 3: Cross multiply
    531.36x = 736.68 × 520.80
  4. Step 4: Simplify right side
    531.36x = 383,662.94
  5. Step 5: Solve for x
    x = 383,662.94/531.36
  6. Step 6: Final answer
    x = 722.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.