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Finding the Fourth Proportional to 627.56, 866.26 and 510.92

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Solution

The fourth proportional to 627.56, 866.26 and 510.92 is: 705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.56 : 866.26 = 510.92 : x
  2. Step 2: Convert to fraction form
    627.56/866.26 = 510.92/x
  3. Step 3: Cross multiply
    627.56x = 866.26 × 510.92
  4. Step 4: Simplify right side
    627.56x = 442,589.56
  5. Step 5: Solve for x
    x = 442,589.56/627.56
  6. Step 6: Final answer
    x = 705.25

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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.