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Finding the Fourth Proportional to 627.02, 864.24 and 574.72

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Solution

The fourth proportional to 627.02, 864.24 and 574.72 is: 792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.02 : 864.24 = 574.72 : x
  2. Step 2: Convert to fraction form
    627.02/864.24 = 574.72/x
  3. Step 3: Cross multiply
    627.02x = 864.24 × 574.72
  4. Step 4: Simplify right side
    627.02x = 496,696.01
  5. Step 5: Solve for x
    x = 496,696.01/627.02
  6. Step 6: Final answer
    x = 792.15

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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.