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Finding the Fourth Proportional to 984.35, 1,357.52 and 629.87

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Solution

The fourth proportional to 984.35, 1,357.52 and 629.87 is: 868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.35 : 1,357.52 = 629.87 : x
  2. Step 2: Convert to fraction form
    984.35/1,357.52 = 629.87/x
  3. Step 3: Cross multiply
    984.35x = 1,357.52 × 629.87
  4. Step 4: Simplify right side
    984.35x = 855,051.19
  5. Step 5: Solve for x
    x = 855,051.19/984.35
  6. Step 6: Final answer
    x = 868.64

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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.