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Finding the Fourth Proportional to 531.64, 734.22 and 434.44

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Solution

The fourth proportional to 531.64, 734.22 and 434.44 is: 599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.64 : 734.22 = 434.44 : x
  2. Step 2: Convert to fraction form
    531.64/734.22 = 434.44/x
  3. Step 3: Cross multiply
    531.64x = 734.22 × 434.44
  4. Step 4: Simplify right side
    531.64x = 318,974.54
  5. Step 5: Solve for x
    x = 318,974.54/531.64
  6. Step 6: Final answer
    x = 599.98

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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.