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Finding the Fourth Proportional to 531.85, 734.13 and 322.21

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Solution

The fourth proportional to 531.85, 734.13 and 322.21 is: 444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.85 : 734.13 = 322.21 : x
  2. Step 2: Convert to fraction form
    531.85/734.13 = 322.21/x
  3. Step 3: Cross multiply
    531.85x = 734.13 × 322.21
  4. Step 4: Simplify right side
    531.85x = 236,544.03
  5. Step 5: Solve for x
    x = 236,544.03/531.85
  6. Step 6: Final answer
    x = 444.76

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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.