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Finding the Fourth Proportional to 959.41, 1,324.49 and 646.32

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Solution

The fourth proportional to 959.41, 1,324.49 and 646.32 is: 892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.41 : 1,324.49 = 646.32 : x
  2. Step 2: Convert to fraction form
    959.41/1,324.49 = 646.32/x
  3. Step 3: Cross multiply
    959.41x = 1,324.49 × 646.32
  4. Step 4: Simplify right side
    959.41x = 856,044.38
  5. Step 5: Solve for x
    x = 856,044.38/959.41
  6. Step 6: Final answer
    x = 892.26

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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.