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Finding the Fourth Proportional to 756.77, 1,135.44 and 391.33

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Solution

The fourth proportional to 756.77, 1,135.44 and 391.33 is: 587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.77 : 1,135.44 = 391.33 : x
  2. Step 2: Convert to fraction form
    756.77/1,135.44 = 391.33/x
  3. Step 3: Cross multiply
    756.77x = 1,135.44 × 391.33
  4. Step 4: Simplify right side
    756.77x = 444,331.74
  5. Step 5: Solve for x
    x = 444,331.74/756.77
  6. Step 6: Final answer
    x = 587.14

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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.