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Finding the Fourth Proportional to 627.06, 864.18 and 564.24

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Solution

The fourth proportional to 627.06, 864.18 and 564.24 is: 777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.06 : 864.18 = 564.24 : x
  2. Step 2: Convert to fraction form
    627.06/864.18 = 564.24/x
  3. Step 3: Cross multiply
    627.06x = 864.18 × 564.24
  4. Step 4: Simplify right side
    627.06x = 487,604.92
  5. Step 5: Solve for x
    x = 487,604.92/627.06
  6. Step 6: Final answer
    x = 777.60

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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.