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Finding the Fourth Proportional to 627.64, 865.82 and 509.76

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Solution

The fourth proportional to 627.64, 865.82 and 509.76 is: 703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.64 : 865.82 = 509.76 : x
  2. Step 2: Convert to fraction form
    627.64/865.82 = 509.76/x
  3. Step 3: Cross multiply
    627.64x = 865.82 × 509.76
  4. Step 4: Simplify right side
    627.64x = 441,361.68
  5. Step 5: Solve for x
    x = 441,361.68/627.64
  6. Step 6: Final answer
    x = 703.21

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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.