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Finding the Fourth Proportional to 627.24, 866.82 and 508.98

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Solution

The fourth proportional to 627.24, 866.82 and 508.98 is: 703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.24 : 866.82 = 508.98 : x
  2. Step 2: Convert to fraction form
    627.24/866.82 = 508.98/x
  3. Step 3: Cross multiply
    627.24x = 866.82 × 508.98
  4. Step 4: Simplify right side
    627.24x = 441,194.04
  5. Step 5: Solve for x
    x = 441,194.04/627.24
  6. Step 6: Final answer
    x = 703.39

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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.