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Finding the Fourth Proportional to 965.25, 1,332.45 and 685.53

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Solution

The fourth proportional to 965.25, 1,332.45 and 685.53 is: 946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.25 : 1,332.45 = 685.53 : x
  2. Step 2: Convert to fraction form
    965.25/1,332.45 = 685.53/x
  3. Step 3: Cross multiply
    965.25x = 1,332.45 × 685.53
  4. Step 4: Simplify right side
    965.25x = 913,434.45
  5. Step 5: Solve for x
    x = 913,434.45/965.25
  6. Step 6: Final answer
    x = 946.32

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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.