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Finding the Fourth Proportional to 965.75, 1,332.81 and 540.45

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Solution

The fourth proportional to 965.75, 1,332.81 and 540.45 is: 745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.75 : 1,332.81 = 540.45 : x
  2. Step 2: Convert to fraction form
    965.75/1,332.81 = 540.45/x
  3. Step 3: Cross multiply
    965.75x = 1,332.81 × 540.45
  4. Step 4: Simplify right side
    965.75x = 720,317.16
  5. Step 5: Solve for x
    x = 720,317.16/965.75
  6. Step 6: Final answer
    x = 745.87

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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.