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Finding the Fourth Proportional to 517.50, 712.50 and 442.68

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Solution

The fourth proportional to 517.50, 712.50 and 442.68 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.50 : 712.50 = 442.68 : x
  2. Step 2: Convert to fraction form
    517.50/712.50 = 442.68/x
  3. Step 3: Cross multiply
    517.50x = 712.50 × 442.68
  4. Step 4: Simplify right side
    517.50x = 315,409.50
  5. Step 5: Solve for x
    x = 315,409.50/517.50
  6. Step 6: Final answer
    x = 609.49

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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.