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Finding the Fourth Proportional to 629.40, 937.86 and 564.78

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Solution

The fourth proportional to 629.40, 937.86 and 564.78 is: 841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.40 : 937.86 = 564.78 : x
  2. Step 2: Convert to fraction form
    629.40/937.86 = 564.78/x
  3. Step 3: Cross multiply
    629.40x = 937.86 × 564.78
  4. Step 4: Simplify right side
    629.40x = 529,684.57
  5. Step 5: Solve for x
    x = 529,684.57/629.40
  6. Step 6: Final answer
    x = 841.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.