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Finding the Fourth Proportional to 629.76, 864.64 and 591.36

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Solution

The fourth proportional to 629.76, 864.64 and 591.36 is: 811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.76 : 864.64 = 591.36 : x
  2. Step 2: Convert to fraction form
    629.76/864.64 = 591.36/x
  3. Step 3: Cross multiply
    629.76x = 864.64 × 591.36
  4. Step 4: Simplify right side
    629.76x = 511,313.51
  5. Step 5: Solve for x
    x = 511,313.51/629.76
  6. Step 6: Final answer
    x = 811.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.