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Finding the Fourth Proportional to 531.50, 733.89 and 421.55

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Solution

The fourth proportional to 531.50, 733.89 and 421.55 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.50 : 733.89 = 421.55 : x
  2. Step 2: Convert to fraction form
    531.50/733.89 = 421.55/x
  3. Step 3: Cross multiply
    531.50x = 733.89 × 421.55
  4. Step 4: Simplify right side
    531.50x = 309,371.33
  5. Step 5: Solve for x
    x = 309,371.33/531.50
  6. Step 6: Final answer
    x = 582.07

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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.