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Finding the Fourth Proportional to 627.16, 866.64 and 522.12

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Solution

The fourth proportional to 627.16, 866.64 and 522.12 is: 721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.16 : 866.64 = 522.12 : x
  2. Step 2: Convert to fraction form
    627.16/866.64 = 522.12/x
  3. Step 3: Cross multiply
    627.16x = 866.64 × 522.12
  4. Step 4: Simplify right side
    627.16x = 452,490.08
  5. Step 5: Solve for x
    x = 452,490.08/627.16
  6. Step 6: Final answer
    x = 721.49

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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.