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Finding the Fourth Proportional to 629.75, 869.17 and 402.48

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Solution

The fourth proportional to 629.75, 869.17 and 402.48 is: 555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.75 : 869.17 = 402.48 : x
  2. Step 2: Convert to fraction form
    629.75/869.17 = 402.48/x
  3. Step 3: Cross multiply
    629.75x = 869.17 × 402.48
  4. Step 4: Simplify right side
    629.75x = 349,822.37
  5. Step 5: Solve for x
    x = 349,822.37/629.75
  6. Step 6: Final answer
    x = 555.50

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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.