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Finding the Fourth Proportional to 629.62, 947.74 and 574.25

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Solution

The fourth proportional to 629.62, 947.74 and 574.25 is: 864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.62 : 947.74 = 574.25 : x
  2. Step 2: Convert to fraction form
    629.62/947.74 = 574.25/x
  3. Step 3: Cross multiply
    629.62x = 947.74 × 574.25
  4. Step 4: Simplify right side
    629.62x = 544,239.70
  5. Step 5: Solve for x
    x = 544,239.70/629.62
  6. Step 6: Final answer
    x = 864.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.