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Finding the Fourth Proportional to 531.99, 734.48 and 343.02

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Solution

The fourth proportional to 531.99, 734.48 and 343.02 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.99 : 734.48 = 343.02 : x
  2. Step 2: Convert to fraction form
    531.99/734.48 = 343.02/x
  3. Step 3: Cross multiply
    531.99x = 734.48 × 343.02
  4. Step 4: Simplify right side
    531.99x = 251,941.33
  5. Step 5: Solve for x
    x = 251,941.33/531.99
  6. Step 6: Final answer
    x = 473.58

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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.