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Finding the Fourth Proportional to 646.29, 967.11 and 559.92

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Solution

The fourth proportional to 646.29, 967.11 and 559.92 is: 837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 967.11 = 559.92 : x
  2. Step 2: Convert to fraction form
    646.29/967.11 = 559.92/x
  3. Step 3: Cross multiply
    646.29x = 967.11 × 559.92
  4. Step 4: Simplify right side
    646.29x = 541,504.23
  5. Step 5: Solve for x
    x = 541,504.23/646.29
  6. Step 6: Final answer
    x = 837.87

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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.