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Finding the Fourth Proportional to 531.96, 733.35 and 374.12

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Solution

The fourth proportional to 531.96, 733.35 and 374.12 is: 515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.96 : 733.35 = 374.12 : x
  2. Step 2: Convert to fraction form
    531.96/733.35 = 374.12/x
  3. Step 3: Cross multiply
    531.96x = 733.35 × 374.12
  4. Step 4: Simplify right side
    531.96x = 274,357.24
  5. Step 5: Solve for x
    x = 274,357.24/531.96
  6. Step 6: Final answer
    x = 515.75

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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.