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Finding the Fourth Proportional to 1,136.37, 1,568.53 and 664.39

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Solution

The fourth proportional to 1,136.37, 1,568.53 and 664.39 is: 917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.37 : 1,568.53 = 664.39 : x
  2. Step 2: Convert to fraction form
    1,136.37/1,568.53 = 664.39/x
  3. Step 3: Cross multiply
    1,136.37x = 1,568.53 × 664.39
  4. Step 4: Simplify right side
    1,136.37x = 1,042,115.65
  5. Step 5: Solve for x
    x = 1,042,115.65/1,136.37
  6. Step 6: Final answer
    x = 917.06

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1.5x scale

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.