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Finding the Fourth Proportional to 531.40, 733.21 and 321.57

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Solution

The fourth proportional to 531.40, 733.21 and 321.57 is: 443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.40 : 733.21 = 321.57 : x
  2. Step 2: Convert to fraction form
    531.40/733.21 = 321.57/x
  3. Step 3: Cross multiply
    531.40x = 733.21 × 321.57
  4. Step 4: Simplify right side
    531.40x = 235,779.40
  5. Step 5: Solve for x
    x = 235,779.40/531.40
  6. Step 6: Final answer
    x = 443.69

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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.