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Finding the Fourth Proportional to 629.02, 867.93 and 535.64

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Solution

The fourth proportional to 629.02, 867.93 and 535.64 is: 739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.02 : 867.93 = 535.64 : x
  2. Step 2: Convert to fraction form
    629.02/867.93 = 535.64/x
  3. Step 3: Cross multiply
    629.02x = 867.93 × 535.64
  4. Step 4: Simplify right side
    629.02x = 464,898.03
  5. Step 5: Solve for x
    x = 464,898.03/629.02
  6. Step 6: Final answer
    x = 739.08

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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.