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Finding the Fourth Proportional to 756.37, 1,133.64 and 665.25

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Solution

The fourth proportional to 756.37, 1,133.64 and 665.25 is: 997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.37 : 1,133.64 = 665.25 : x
  2. Step 2: Convert to fraction form
    756.37/1,133.64 = 665.25/x
  3. Step 3: Cross multiply
    756.37x = 1,133.64 × 665.25
  4. Step 4: Simplify right side
    756.37x = 754,154.01
  5. Step 5: Solve for x
    x = 754,154.01/756.37
  6. Step 6: Final answer
    x = 997.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.