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Finding the Fourth Proportional to 627.16, 866.64 and 497.20

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Solution

The fourth proportional to 627.16, 866.64 and 497.20 is: 687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.16 : 866.64 = 497.20 : x
  2. Step 2: Convert to fraction form
    627.16/866.64 = 497.20/x
  3. Step 3: Cross multiply
    627.16x = 866.64 × 497.20
  4. Step 4: Simplify right side
    627.16x = 430,893.41
  5. Step 5: Solve for x
    x = 430,893.41/627.16
  6. Step 6: Final answer
    x = 687.05

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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.