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Finding the Fourth Proportional to 627.90, 865.50 and 468.12

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Solution

The fourth proportional to 627.90, 865.50 and 468.12 is: 645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.90 : 865.50 = 468.12 : x
  2. Step 2: Convert to fraction form
    627.90/865.50 = 468.12/x
  3. Step 3: Cross multiply
    627.90x = 865.50 × 468.12
  4. Step 4: Simplify right side
    627.90x = 405,157.86
  5. Step 5: Solve for x
    x = 405,157.86/627.90
  6. Step 6: Final answer
    x = 645.26

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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.