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Finding the Fourth Proportional to 965.27, 1,330.74 and 646.11

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Solution

The fourth proportional to 965.27, 1,330.74 and 646.11 is: 890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.27 : 1,330.74 = 646.11 : x
  2. Step 2: Convert to fraction form
    965.27/1,330.74 = 646.11/x
  3. Step 3: Cross multiply
    965.27x = 1,330.74 × 646.11
  4. Step 4: Simplify right side
    965.27x = 859,804.42
  5. Step 5: Solve for x
    x = 859,804.42/965.27
  6. Step 6: Final answer
    x = 890.74

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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.