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Finding the Fourth Proportional to 531.22, 731.49 and 420.34

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Solution

The fourth proportional to 531.22, 731.49 and 420.34 is: 578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.22 : 731.49 = 420.34 : x
  2. Step 2: Convert to fraction form
    531.22/731.49 = 420.34/x
  3. Step 3: Cross multiply
    531.22x = 731.49 × 420.34
  4. Step 4: Simplify right side
    531.22x = 307,474.51
  5. Step 5: Solve for x
    x = 307,474.51/531.22
  6. Step 6: Final answer
    x = 578.81

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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.