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Finding the Fourth Proportional to 531.14, 731.30 and 482.54

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Solution

The fourth proportional to 531.14, 731.30 and 482.54 is: 664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.14 : 731.30 = 482.54 : x
  2. Step 2: Convert to fraction form
    531.14/731.30 = 482.54/x
  3. Step 3: Cross multiply
    531.14x = 731.30 × 482.54
  4. Step 4: Simplify right side
    531.14x = 352,881.50
  5. Step 5: Solve for x
    x = 352,881.50/531.14
  6. Step 6: Final answer
    x = 664.39

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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.