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Finding the Fourth Proportional to 531.06, 733.11 and 354.32

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Solution

The fourth proportional to 531.06, 733.11 and 354.32 is: 489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.06 : 733.11 = 354.32 : x
  2. Step 2: Convert to fraction form
    531.06/733.11 = 354.32/x
  3. Step 3: Cross multiply
    531.06x = 733.11 × 354.32
  4. Step 4: Simplify right side
    531.06x = 259,751.87
  5. Step 5: Solve for x
    x = 259,751.87/531.06
  6. Step 6: Final answer
    x = 489.12

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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.