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Finding the Fourth Proportional to 955.65, 1,431.64 and 646.97

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Solution

The fourth proportional to 955.65, 1,431.64 and 646.97 is: 969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.65 : 1,431.64 = 646.97 : x
  2. Step 2: Convert to fraction form
    955.65/1,431.64 = 646.97/x
  3. Step 3: Cross multiply
    955.65x = 1,431.64 × 646.97
  4. Step 4: Simplify right side
    955.65x = 926,228.13
  5. Step 5: Solve for x
    x = 926,228.13/955.65
  6. Step 6: Final answer
    x = 969.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.