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Finding the Fourth Proportional to 646.19, 891.71 and 366.44

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Solution

The fourth proportional to 646.19, 891.71 and 366.44 is: 505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.19 : 891.71 = 366.44 : x
  2. Step 2: Convert to fraction form
    646.19/891.71 = 366.44/x
  3. Step 3: Cross multiply
    646.19x = 891.71 × 366.44
  4. Step 4: Simplify right side
    646.19x = 326,751.92
  5. Step 5: Solve for x
    x = 326,751.92/646.19
  6. Step 6: Final answer
    x = 505.66

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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.