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Finding the Fourth Proportional to 531.39, 796.25 and 409.95

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Solution

The fourth proportional to 531.39, 796.25 and 409.95 is: 614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.39 : 796.25 = 409.95 : x
  2. Step 2: Convert to fraction form
    531.39/796.25 = 409.95/x
  3. Step 3: Cross multiply
    531.39x = 796.25 × 409.95
  4. Step 4: Simplify right side
    531.39x = 326,420.64
  5. Step 5: Solve for x
    x = 326,420.64/531.39
  6. Step 6: Final answer
    x = 614.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.