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Finding the Fourth Proportional to 965, 1,331.86 and 731.72

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Solution

The fourth proportional to 965, 1,331.86 and 731.72 is: 1,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    965 : 1,331.86 = 731.72 : x
  2. Step 2: Convert to fraction form
    965/1,331.86 = 731.72/x
  3. Step 3: Cross multiply
    965x = 1,331.86 × 731.72
  4. Step 4: Simplify right side
    965x = 974,548.60
  5. Step 5: Solve for x
    x = 974,548.60/965
  6. Step 6: Final answer
    x = 1,009.89

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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.