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Finding the Fourth Proportional to 965.17, 1,330.93 and 825.74

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Solution

The fourth proportional to 965.17, 1,330.93 and 825.74 is: 1,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.17 : 1,330.93 = 825.74 : x
  2. Step 2: Convert to fraction form
    965.17/1,330.93 = 825.74/x
  3. Step 3: Cross multiply
    965.17x = 1,330.93 × 825.74
  4. Step 4: Simplify right side
    965.17x = 1,099,005.51
  5. Step 5: Solve for x
    x = 1,099,005.51/965.17
  6. Step 6: Final answer
    x = 1,138.67

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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.