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Finding the Fourth Proportional to 531.45, 733.53 and 354.42

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Solution

The fourth proportional to 531.45, 733.53 and 354.42 is: 489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.45 : 733.53 = 354.42 : x
  2. Step 2: Convert to fraction form
    531.45/733.53 = 354.42/x
  3. Step 3: Cross multiply
    531.45x = 733.53 × 354.42
  4. Step 4: Simplify right side
    531.45x = 259,977.70
  5. Step 5: Solve for x
    x = 259,977.70/531.45
  6. Step 6: Final answer
    x = 489.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.